['A008288']
Delannoy Triangle view
| Row | Seq |
|---|---|
| Row0 | [1] |
| Row1 | [1, 1] |
| Row2 | [1, 3, 1] |
| Row3 | [1, 5, 5, 1] |
| Row4 | [1, 7, 13, 7, 1] |
| Row5 | [1, 9, 25, 25, 9, 1] |
| Row6 | [1, 11, 41, 63, 41, 11, 1] |
| Row7 | [1, 13, 61, 129, 129, 61, 13, 1] |
| Row8 | [1, 15, 85, 231, 321, 231, 85, 15, 1] |
| Row9 | [1, 17, 113, 377, 681, 681, 377, 113, 17, 1] |
Delannoy Triangles
| Flat | Seq |
|---|---|
| Triangle | [[1], [1, 1], [1, 3, 1], [1, 5, 5, 1], [1, 7, 13, 7, 1], [1, 9, 25, 25, 9, 1], [1, 11, 41, 63, 41, 11, 1], [1, 13, 61, 129, 129, 61, 13, 1], [1, 15, 85, 231, 321, 231, 85, 15, 1], [1, 17, 113, 377, 681, 681, 377, 113, 17, 1]] |
| RevTabl | [[1], [1, 1], [1, 3, 1], [1, 5, 5, 1], [1, 7, 13, 7, 1], [1, 9, 25, 25, 9, 1], [1, 11, 41, 63, 41, 11, 1], [1, 13, 61, 129, 129, 61, 13, 1], [1, 15, 85, 231, 321, 231, 85, 15, 1], [1, 17, 113, 377, 681, 681, 377, 113, 17, 1]] |
| AntiDiag | [[1], [1], [1, 1], [1, 3], [1, 5, 1], [1, 7, 5], [1, 9, 13, 1], [1, 11, 25, 7], [1, 13, 41, 25, 1], [1, 15, 61, 63, 9]] |
| AccTabl | [[1], [1, 2], [1, 4, 5], [1, 6, 11, 12], [1, 8, 21, 28, 29], [1, 10, 35, 60, 69, 70], [1, 12, 53, 116, 157, 168, 169], [1, 14, 75, 204, 333, 394, 407, 408], [1, 16, 101, 332, 653, 884, 969, 984, 985], [1, 18, 131, 508, 1189, 1870, 2247, 2360, 2377, 2378]] |
| RevAccTabl | [[1], [2, 1], [5, 4, 1], [12, 11, 6, 1], [29, 28, 21, 8, 1], [70, 69, 60, 35, 10, 1], [169, 168, 157, 116, 53, 12, 1], [408, 407, 394, 333, 204, 75, 14, 1], [985, 984, 969, 884, 653, 332, 101, 16, 1], [2378, 2377, 2360, 2247, 1870, 1189, 508, 131, 18, 1]] |
| AccRevTabl | [[1], [1, 2], [1, 4, 5], [1, 6, 11, 12], [1, 8, 21, 28, 29], [1, 10, 35, 60, 69, 70], [1, 12, 53, 116, 157, 168, 169], [1, 14, 75, 204, 333, 394, 407, 408], [1, 16, 101, 332, 653, 884, 969, 984, 985], [1, 18, 131, 508, 1189, 1870, 2247, 2360, 2377, 2378]] |
| DiffxTabl | [[1], [1, 2], [1, 6, 3], [1, 10, 15, 4], [1, 14, 39, 28, 5], [1, 18, 75, 100, 45, 6], [1, 22, 123, 252, 205, 66, 7], [1, 26, 183, 516, 645, 366, 91, 8], [1, 30, 255, 924, 1605, 1386, 595, 120, 9], [1, 34, 339, 1508, 3405, 4086, 2639, 904, 153, 10]] |
Delannoy Row sums
| Trait | Seq |
|---|---|
| RowSum | [1, 2, 5, 12, 29, 70, 169, 408, 985, 2378] |
| EvenSum | [1, 1, 2, 6, 15, 35, 84, 204, 493, 1189] |
| OddSum | [0, 1, 3, 6, 14, 35, 85, 204, 492, 1189] |
| AltSum | [1, 0, -1, 0, 1, 0, -1, 0, 1, 0] |
| AbsSum | [1, 2, 5, 12, 29, 70, 169, 408, 985, 2378] |
| AccSum | [1, 3, 10, 30, 87, 245, 676, 1836, 4925, 13079] |
| AccRevSum | [1, 3, 10, 30, 87, 245, 676, 1836, 4925, 13079] |
| DiagSum | [1, 1, 2, 4, 7, 13, 24, 44, 81, 149] |
Delannoy Transforms
| Trans | Seq |
|---|---|
| RowLcm | [1, 1, 3, 5, 91, 225, 28413, 102297, 2100945, 493191777] |
| RowGcd | [1, 1, 3, 5, 1, 1, 1, 1, 1, 1] |
| RowMax | [1, 1, 3, 5, 13, 25, 63, 129, 321, 681] |
| CentralE | [1, 3, 13, 63, 321] |
| CentralO | [1, 5, 25, 129, 681] |
| ColMiddle | [1, 1, 3, 5, 13, 25, 63, 129, 321, 681] |
| ColLeft | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| BinConv | [1, 2, 8, 32, 136, 592, 2624, 11776, 53344, 243392] |
| InvBinConv | [1, 0, -4, 0, 24, 0, -160, 0, 1120, 0] |
| TransSqrs | [0, 1, 7, 34, 138, 503, 1709, 5524, 17204, 52061] |
| TransNat0 | [0, 1, 5, 18, 58, 175, 507, 1428, 3940, 10701] |
| TransNat1 | [1, 3, 10, 30, 87, 245, 676, 1836, 4925, 13079] |
| PosHalf | [1, 3, 11, 39, 139, 495, 1763, 6279, 22363, 79647] |
| NegHalf | [1, -1, -1, 3, -1, -5, 7, 3, -17, 11] |
Delannoy Diagonals as rows
| DiagRow | Seq |
|---|---|
| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| DiagRow1 | [1, 3, 5, 7, 9, 11, 13, 15, 17, 19] |
| DiagRow2 | [1, 5, 13, 25, 41, 61, 85, 113, 145, 181] |
| DiagRow3 | [1, 7, 25, 63, 129, 231, 377, 575, 833, 1159] |
| DiagRow4 | [1, 9, 41, 129, 321, 681, 1289, 2241, 3649, 5641] |
| DiagRow5 | [1, 11, 61, 231, 681, 1683, 3653, 7183, 13073, 22363] |
| DiagRow6 | [1, 13, 85, 377, 1289, 3653, 8989, 19825, 40081, 75517] |
| DiagRow7 | [1, 15, 113, 575, 2241, 7183, 19825, 48639, 108545, 224143] |
| DiagRow8 | [1, 17, 145, 833, 3649, 13073, 40081, 108545, 265729, 598417] |
| DiagRow9 | [1, 19, 181, 1159, 5641, 22363, 75517, 224143, 598417, 1462563] |
Delannoy Diagonals as columns
| DiagCol | Seq |
|---|---|
| DiagCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| DiagCol1 | [1, 3, 5, 7, 9, 11, 13, 15, 17, 19] |
| DiagCol2 | [1, 5, 13, 25, 41, 61, 85, 113, 145, 181] |
| DiagCol3 | [1, 7, 25, 63, 129, 231, 377, 575, 833, 1159] |
| DiagCol4 | [1, 9, 41, 129, 321, 681, 1289, 2241, 3649, 5641] |
| DiagCol5 | [1, 11, 61, 231, 681, 1683, 3653, 7183, 13073, 22363] |
| DiagCol6 | [1, 13, 85, 377, 1289, 3653, 8989, 19825, 40081, 75517] |
| DiagCol7 | [1, 15, 113, 575, 2241, 7183, 19825, 48639, 108545, 224143] |
| DiagCol8 | [1, 17, 145, 833, 3649, 13073, 40081, 108545, 265729, 598417] |
| DiagCol9 | [1, 19, 181, 1159, 5641, 22363, 75517, 224143, 598417, 1462563] |
Delannoy Polynomial values as rows
| PolyRow | Seq |
|---|---|
| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| PolyRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] |
| PolyRow2 | [1, 5, 11, 19, 29, 41, 55, 71, 89, 109] |
| PolyRow3 | [1, 12, 39, 88, 165, 276, 427, 624, 873, 1180] |
| PolyRow4 | [1, 29, 139, 409, 941, 1861, 3319, 5489, 8569, 12781] |
| PolyRow5 | [1, 70, 495, 1900, 5365, 12546, 25795, 48280, 84105, 138430] |
| PolyRow6 | [1, 169, 1763, 8827, 30589, 84581, 200479, 424663, 825497, 1499329] |
| PolyRow7 | [1, 408, 6279, 41008, 174405, 570216, 1558123, 3735264, 8102313, 16239160] |
| PolyRow8 | [1, 985, 22363, 190513, 994381, 3844201, 12109735, 32854753, 79524793, 175885561] |
| PolyRow9 | [1, 2378, 79647, 885076, 5669525, 25916286, 94116883, 288984872, 780541641, 1905008050] |
Delannoy Polynomial values as columns
| PolyCol | Seq |
|---|---|
| PolyCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| PolyCol1 | [1, 2, 5, 12, 29, 70, 169, 408, 985, 2378] |
| PolyCol2 | [1, 3, 11, 39, 139, 495, 1763, 6279, 22363, 79647] |
| PolyCol3 | [1, 4, 19, 88, 409, 1900, 8827, 41008, 190513, 885076] |
| PolyCol4 | [1, 5, 29, 165, 941, 5365, 30589, 174405, 994381, 5669525] |
| PolyCol5 | [1, 6, 41, 276, 1861, 12546, 84581, 570216, 3844201, 25916286] |
| PolyCol6 | [1, 7, 55, 427, 3319, 25795, 200479, 1558123, 12109735, 94116883] |
| PolyCol7 | [1, 8, 71, 624, 5489, 48280, 424663, 3735264, 32854753, 288984872] |
| PolyCol8 | [1, 9, 89, 873, 8569, 84105, 825497, 8102313, 79524793, 780541641] |
| PolyCol9 | [1, 10, 109, 1180, 12781, 138430, 1499329, 16239160, 175885561, 1905008050] |
[]
Delannoy:Inv Triangle view
| Row | Seq |
|---|---|
| Row0 | [1] |
| Row1 | [-1, 1] |
| Row2 | [2, -3, 1] |
| Row3 | [-6, 10, -5, 1] |
| Row4 | [22, -38, 22, -7, 1] |
| Row5 | [-90, 158, -98, 38, -9, 1] |
| Row6 | [394, -698, 450, -194, 58, -11, 1] |
| Row7 | [-1806, 3218, -2126, 978, -334, 82, -13, 1] |
| Row8 | [8558, -15310, 10286, -4942, 1838, -526, 110, -15, 1] |
| Row9 | [-41586, 74614, -50746, 25150, -9922, 3142, -778, 142, -17, 1] |
Delannoy:Inv Triangles
| Flat | Seq |
|---|---|
| Triangle | [[1], [-1, 1], [2, -3, 1], [-6, 10, -5, 1], [22, -38, 22, -7, 1], [-90, 158, -98, 38, -9, 1], [394, -698, 450, -194, 58, -11, 1], [-1806, 3218, -2126, 978, -334, 82, -13, 1], [8558, -15310, 10286, -4942, 1838, -526, 110, -15, 1], [-41586, 74614, -50746, 25150, -9922, 3142, -778, 142, -17, 1]] |
| RevTabl | [[1], [1, -1], [1, -3, 2], [1, -5, 10, -6], [1, -7, 22, -38, 22], [1, -9, 38, -98, 158, -90], [1, -11, 58, -194, 450, -698, 394], [1, -13, 82, -334, 978, -2126, 3218, -1806], [1, -15, 110, -526, 1838, -4942, 10286, -15310, 8558], [1, -17, 142, -778, 3142, -9922, 25150, -50746, 74614, -41586]] |
| AntiDiag | [[1], [-1], [2, 1], [-6, -3], [22, 10, 1], [-90, -38, -5], [394, 158, 22, 1], [-1806, -698, -98, -7], [8558, 3218, 450, 38, 1], [-41586, -15310, -2126, -194, -9]] |
| AccTabl | [[1], [-1, 0], [2, -1, 0], [-6, 4, -1, 0], [22, -16, 6, -1, 0], [-90, 68, -30, 8, -1, 0], [394, -304, 146, -48, 10, -1, 0], [-1806, 1412, -714, 264, -70, 12, -1, 0], [8558, -6752, 3534, -1408, 430, -96, 14, -1, 0], [-41586, 33028, -17718, 7432, -2490, 652, -126, 16, -1, 0]] |
| RevAccTabl | [[1], [0, -1], [0, -1, 2], [0, -1, 4, -6], [0, -1, 6, -16, 22], [0, -1, 8, -30, 68, -90], [0, -1, 10, -48, 146, -304, 394], [0, -1, 12, -70, 264, -714, 1412, -1806], [0, -1, 14, -96, 430, -1408, 3534, -6752, 8558], [0, -1, 16, -126, 652, -2490, 7432, -17718, 33028, -41586]] |
| AccRevTabl | [[1], [1, 0], [1, -2, 0], [1, -4, 6, 0], [1, -6, 16, -22, 0], [1, -8, 30, -68, 90, 0], [1, -10, 48, -146, 304, -394, 0], [1, -12, 70, -264, 714, -1412, 1806, 0], [1, -14, 96, -430, 1408, -3534, 6752, -8558, 0], [1, -16, 126, -652, 2490, -7432, 17718, -33028, 41586, 0]] |
| DiffxTabl | [[1], [-1, 2], [2, -6, 3], [-6, 20, -15, 4], [22, -76, 66, -28, 5], [-90, 316, -294, 152, -45, 6], [394, -1396, 1350, -776, 290, -66, 7], [-1806, 6436, -6378, 3912, -1670, 492, -91, 8], [8558, -30620, 30858, -19768, 9190, -3156, 770, -120, 9], [-41586, 149228, -152238, 100600, -49610, 18852, -5446, 1136, -153, 10]] |
Delannoy:Inv Row sums
| Trait | Seq |
|---|---|
| RowSum | [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] |
| EvenSum | [1, -1, 3, -11, 45, -197, 903, -4279, 20793, -103049] |
| OddSum | [0, 1, -3, 11, -45, 197, -903, 4279, -20793, 103049] |
| AltSum | [1, -2, 6, -22, 90, -394, 1806, -8558, 41586, -206098] |
| AbsSum | [1, 2, 6, 22, 90, 394, 1806, 8558, 41586, 206098] |
| AccSum | [1, -1, 1, -3, 11, -45, 197, -903, 4279, -20793] |
| AccRevSum | [1, 1, -1, 3, -11, 45, -197, 903, -4279, 20793] |
| DiagSum | [1, -1, 3, -9, 33, -133, 575, -2609, 12265, -59225] |
Delannoy:Inv Transforms
| Trans | Seq |
|---|---|
| RowLcm | [1, 1, 6, 30, 2926, 6619410, 957340835550, 44816541527197986, 603669538270861563270, 1811421729132682380202432694850] |
| RowGcd | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| RowMax | [1, 1, 3, 10, 38, 158, 698, 3218, 15310, 74614] |
| CentralE | [1, -3, 22, -194, 1838] |
| CentralO | [-1, 10, -98, 978, -9922] |
| ColMiddle | [1, -1, -3, 10, 22, -98, -194, 978, 1838, -9922] |
| ColLeft | [1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586] |
| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| BinConv | [1, 0, -3, 10, -25, 56, -119, 246, -501, 1012] |
| InvBinConv | [1, 2, 9, 52, 335, 2286, 16149, 116712, 857115, 6369250] |
| TransSqrs | [0, 1, 1, -1, 3, -11, 45, -197, 903, -4279] |
| TransNat0 | [0, 1, -1, 3, -11, 45, -197, 903, -4279, 20793] |
| TransNat1 | [1, 1, -1, 3, -11, 45, -197, 903, -4279, 20793] |
| PosHalf | [1, -1, 3, -17, 123, -1001, 8739, -79969, 756939, -7349657] |
| NegHalf | [1, 3, 15, 99, 759, 6363, 56559, 523827, 5001063, 48872907] |
Delannoy:Inv Diagonals as rows
| DiagRow | Seq |
|---|---|
| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| DiagRow1 | [-1, -3, -5, -7, -9, -11, -13, -15, -17, -19] |
| DiagRow2 | [2, 10, 22, 38, 58, 82, 110, 142, 178, 218] |
| DiagRow3 | [-6, -38, -98, -194, -334, -526, -778, -1098, -1494, -1974] |
| DiagRow4 | [22, 158, 450, 978, 1838, 3142, 5018, 7610, 11078, 15598] |
| DiagRow5 | [-90, -698, -2126, -4942, -9922, -18082, -30710, -49398, -76074, -113034] |
| DiagRow6 | [394, 3218, 10286, 25150, 53154, 101946, 182054, 307526, 496634, 772642] |
| DiagRow7 | [-1806, -15310, -50746, -129050, -284150, -568150, -1057730, -1861890, -3131166, -5068446] |
| DiagRow8 | [8558, 74614, 254410, 667610, 1519910, 3145790, 6065410, 11058466, 19258078, 32268038] |
| DiagRow9 | [-41586, -370610, -1292630, -3480150, -8145850, -17357050, -34480926, -64797470, -116323586, -200898626] |
Delannoy:Inv Diagonals as columns
| DiagCol | Seq |
|---|---|
| DiagCol0 | [1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586] |
| DiagCol1 | [1, -3, 10, -38, 158, -698, 3218, -15310, 74614, -370610] |
| DiagCol2 | [1, -5, 22, -98, 450, -2126, 10286, -50746, 254410, -1292630] |
| DiagCol3 | [1, -7, 38, -194, 978, -4942, 25150, -129050, 667610, -3480150] |
| DiagCol4 | [1, -9, 58, -334, 1838, -9922, 53154, -284150, 1519910, -8145850] |
| DiagCol5 | [1, -11, 82, -526, 3142, -18082, 101946, -568150, 3145790, -17357050] |
| DiagCol6 | [1, -13, 110, -778, 5018, -30710, 182054, -1057730, 6065410, -34480926] |
| DiagCol7 | [1, -15, 142, -1098, 7610, -49398, 307526, -1861890, 11058466, -64797470] |
| DiagCol8 | [1, -17, 178, -1494, 11078, -76074, 496634, -3131166, 19258078, -116323586] |
| DiagCol9 | [1, -19, 218, -1974, 15598, -113034, 772642, -5068446, 32268038, -200898626] |
Delannoy:Inv Polynomial values as rows
| PolyRow | Seq |
|---|---|
| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| PolyRow1 | [-1, 0, 1, 2, 3, 4, 5, 6, 7, 8] |
| PolyRow2 | [2, 0, 0, 2, 6, 12, 20, 30, 42, 56] |
| PolyRow3 | [-6, 0, 2, 6, 18, 44, 90, 162, 266, 408] |
| PolyRow4 | [22, 0, -6, -2, 30, 132, 370, 834, 1638, 2920] |
| PolyRow5 | [-90, 0, 26, 42, 126, 500, 1650, 4446, 10262, 21096] |
| PolyRow6 | [394, 0, -114, -134, 66, 1404, 6790, 23046, 63546, 151576] |
| PolyRow7 | [-1806, 0, 526, 702, 1242, 5884, 30390, 122346, 396802, 1092792] |
| PolyRow8 | [8558, 0, -2502, -3226, -2154, 13908, 124130, 635898, 2462334, 7861256] |
| PolyRow9 | [-41586, 0, 12194, 15954, 19782, 74084, 561690, 3369654, 15353534, 56634312] |
Delannoy:Inv Polynomial values as columns
| PolyCol | Seq |
|---|---|
| PolyCol0 | [1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586] |
| PolyCol1 | [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] |
| PolyCol2 | [1, 1, 0, 2, -6, 26, -114, 526, -2502, 12194] |
| PolyCol3 | [1, 2, 2, 6, -2, 42, -134, 702, -3226, 15954] |
| PolyCol4 | [1, 3, 6, 18, 30, 126, 66, 1242, -2154, 19782] |
| PolyCol5 | [1, 4, 12, 44, 132, 500, 1404, 5884, 13908, 74084] |
| PolyCol6 | [1, 5, 20, 90, 370, 1650, 6790, 30390, 124130, 561690] |
| PolyCol7 | [1, 6, 30, 162, 834, 4446, 23046, 122346, 635898, 3369654] |
| PolyCol8 | [1, 7, 42, 266, 1638, 10262, 63546, 396802, 2462334, 15353534] |
| PolyCol9 | [1, 8, 56, 408, 2920, 21096, 151576, 1092792, 7861256, 56634312] |
[]
Delannoy:Rev Triangle view
| Row | Seq |
|---|---|
| Row0 | [1] |
| Row1 | [1, 1] |
| Row2 | [1, 3, 1] |
| Row3 | [1, 5, 5, 1] |
| Row4 | [1, 7, 13, 7, 1] |
| Row5 | [1, 9, 25, 25, 9, 1] |
| Row6 | [1, 11, 41, 63, 41, 11, 1] |
| Row7 | [1, 13, 61, 129, 129, 61, 13, 1] |
| Row8 | [1, 15, 85, 231, 321, 231, 85, 15, 1] |
| Row9 | [1, 17, 113, 377, 681, 681, 377, 113, 17, 1] |
Delannoy:Rev Triangles
| Flat | Seq |
|---|---|
| Triangle | [[1], [1, 1], [1, 3, 1], [1, 5, 5, 1], [1, 7, 13, 7, 1], [1, 9, 25, 25, 9, 1], [1, 11, 41, 63, 41, 11, 1], [1, 13, 61, 129, 129, 61, 13, 1], [1, 15, 85, 231, 321, 231, 85, 15, 1], [1, 17, 113, 377, 681, 681, 377, 113, 17, 1]] |
| RevTabl | [[1], [1, 1], [1, 3, 1], [1, 5, 5, 1], [1, 7, 13, 7, 1], [1, 9, 25, 25, 9, 1], [1, 11, 41, 63, 41, 11, 1], [1, 13, 61, 129, 129, 61, 13, 1], [1, 15, 85, 231, 321, 231, 85, 15, 1], [1, 17, 113, 377, 681, 681, 377, 113, 17, 1]] |
| AntiDiag | [[1], [1], [1, 1], [1, 3], [1, 5, 1], [1, 7, 5], [1, 9, 13, 1], [1, 11, 25, 7], [1, 13, 41, 25, 1], [1, 15, 61, 63, 9]] |
| AccTabl | [[1], [1, 2], [1, 4, 5], [1, 6, 11, 12], [1, 8, 21, 28, 29], [1, 10, 35, 60, 69, 70], [1, 12, 53, 116, 157, 168, 169], [1, 14, 75, 204, 333, 394, 407, 408], [1, 16, 101, 332, 653, 884, 969, 984, 985], [1, 18, 131, 508, 1189, 1870, 2247, 2360, 2377, 2378]] |
| RevAccTabl | [[1], [2, 1], [5, 4, 1], [12, 11, 6, 1], [29, 28, 21, 8, 1], [70, 69, 60, 35, 10, 1], [169, 168, 157, 116, 53, 12, 1], [408, 407, 394, 333, 204, 75, 14, 1], [985, 984, 969, 884, 653, 332, 101, 16, 1], [2378, 2377, 2360, 2247, 1870, 1189, 508, 131, 18, 1]] |
| AccRevTabl | [[1], [1, 2], [1, 4, 5], [1, 6, 11, 12], [1, 8, 21, 28, 29], [1, 10, 35, 60, 69, 70], [1, 12, 53, 116, 157, 168, 169], [1, 14, 75, 204, 333, 394, 407, 408], [1, 16, 101, 332, 653, 884, 969, 984, 985], [1, 18, 131, 508, 1189, 1870, 2247, 2360, 2377, 2378]] |
| DiffxTabl | [[1], [1, 2], [1, 6, 3], [1, 10, 15, 4], [1, 14, 39, 28, 5], [1, 18, 75, 100, 45, 6], [1, 22, 123, 252, 205, 66, 7], [1, 26, 183, 516, 645, 366, 91, 8], [1, 30, 255, 924, 1605, 1386, 595, 120, 9], [1, 34, 339, 1508, 3405, 4086, 2639, 904, 153, 10]] |
Delannoy:Rev Row sums
| Trait | Seq |
|---|---|
| RowSum | [1, 2, 5, 12, 29, 70, 169, 408, 985, 2378] |
| EvenSum | [1, 1, 2, 6, 15, 35, 84, 204, 493, 1189] |
| OddSum | [0, 1, 3, 6, 14, 35, 85, 204, 492, 1189] |
| AltSum | [1, 0, -1, 0, 1, 0, -1, 0, 1, 0] |
| AbsSum | [1, 2, 5, 12, 29, 70, 169, 408, 985, 2378] |
| AccSum | [1, 3, 10, 30, 87, 245, 676, 1836, 4925, 13079] |
| AccRevSum | [1, 3, 10, 30, 87, 245, 676, 1836, 4925, 13079] |
| DiagSum | [1, 1, 2, 4, 7, 13, 24, 44, 81, 149] |
Delannoy:Rev Transforms
| Trans | Seq |
|---|---|
| RowLcm | [1, 1, 3, 5, 91, 225, 28413, 102297, 2100945, 493191777] |
| RowGcd | [1, 1, 3, 5, 1, 1, 1, 1, 1, 1] |
| RowMax | [1, 1, 3, 5, 13, 25, 63, 129, 321, 681] |
| CentralE | [1, 3, 13, 63, 321] |
| CentralO | [1, 5, 25, 129, 681] |
| ColMiddle | [1, 1, 3, 5, 13, 25, 63, 129, 321, 681] |
| ColLeft | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| BinConv | [1, 2, 8, 32, 136, 592, 2624, 11776, 53344, 243392] |
| InvBinConv | [1, 0, -4, 0, 24, 0, -160, 0, 1120, 0] |
| TransSqrs | [0, 1, 7, 34, 138, 503, 1709, 5524, 17204, 52061] |
| TransNat0 | [0, 1, 5, 18, 58, 175, 507, 1428, 3940, 10701] |
| TransNat1 | [1, 3, 10, 30, 87, 245, 676, 1836, 4925, 13079] |
| PosHalf | [1, 3, 11, 39, 139, 495, 1763, 6279, 22363, 79647] |
| NegHalf | [1, -1, -1, 3, -1, -5, 7, 3, -17, 11] |
Delannoy:Rev Diagonals as rows
| DiagRow | Seq |
|---|---|
| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| DiagRow1 | [1, 3, 5, 7, 9, 11, 13, 15, 17, 19] |
| DiagRow2 | [1, 5, 13, 25, 41, 61, 85, 113, 145, 181] |
| DiagRow3 | [1, 7, 25, 63, 129, 231, 377, 575, 833, 1159] |
| DiagRow4 | [1, 9, 41, 129, 321, 681, 1289, 2241, 3649, 5641] |
| DiagRow5 | [1, 11, 61, 231, 681, 1683, 3653, 7183, 13073, 22363] |
| DiagRow6 | [1, 13, 85, 377, 1289, 3653, 8989, 19825, 40081, 75517] |
| DiagRow7 | [1, 15, 113, 575, 2241, 7183, 19825, 48639, 108545, 224143] |
| DiagRow8 | [1, 17, 145, 833, 3649, 13073, 40081, 108545, 265729, 598417] |
| DiagRow9 | [1, 19, 181, 1159, 5641, 22363, 75517, 224143, 598417, 1462563] |
Delannoy:Rev Diagonals as columns
| DiagCol | Seq |
|---|---|
| DiagCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| DiagCol1 | [1, 3, 5, 7, 9, 11, 13, 15, 17, 19] |
| DiagCol2 | [1, 5, 13, 25, 41, 61, 85, 113, 145, 181] |
| DiagCol3 | [1, 7, 25, 63, 129, 231, 377, 575, 833, 1159] |
| DiagCol4 | [1, 9, 41, 129, 321, 681, 1289, 2241, 3649, 5641] |
| DiagCol5 | [1, 11, 61, 231, 681, 1683, 3653, 7183, 13073, 22363] |
| DiagCol6 | [1, 13, 85, 377, 1289, 3653, 8989, 19825, 40081, 75517] |
| DiagCol7 | [1, 15, 113, 575, 2241, 7183, 19825, 48639, 108545, 224143] |
| DiagCol8 | [1, 17, 145, 833, 3649, 13073, 40081, 108545, 265729, 598417] |
| DiagCol9 | [1, 19, 181, 1159, 5641, 22363, 75517, 224143, 598417, 1462563] |
Delannoy:Rev Polynomial values as rows
| PolyRow | Seq |
|---|---|
| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| PolyRow1 | [1, 2, 3, 4, 5, 6, 7, 8, 9, 10] |
| PolyRow2 | [1, 5, 11, 19, 29, 41, 55, 71, 89, 109] |
| PolyRow3 | [1, 12, 39, 88, 165, 276, 427, 624, 873, 1180] |
| PolyRow4 | [1, 29, 139, 409, 941, 1861, 3319, 5489, 8569, 12781] |
| PolyRow5 | [1, 70, 495, 1900, 5365, 12546, 25795, 48280, 84105, 138430] |
| PolyRow6 | [1, 169, 1763, 8827, 30589, 84581, 200479, 424663, 825497, 1499329] |
| PolyRow7 | [1, 408, 6279, 41008, 174405, 570216, 1558123, 3735264, 8102313, 16239160] |
| PolyRow8 | [1, 985, 22363, 190513, 994381, 3844201, 12109735, 32854753, 79524793, 175885561] |
| PolyRow9 | [1, 2378, 79647, 885076, 5669525, 25916286, 94116883, 288984872, 780541641, 1905008050] |
Delannoy:Rev Polynomial values as columns
| PolyCol | Seq |
|---|---|
| PolyCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| PolyCol1 | [1, 2, 5, 12, 29, 70, 169, 408, 985, 2378] |
| PolyCol2 | [1, 3, 11, 39, 139, 495, 1763, 6279, 22363, 79647] |
| PolyCol3 | [1, 4, 19, 88, 409, 1900, 8827, 41008, 190513, 885076] |
| PolyCol4 | [1, 5, 29, 165, 941, 5365, 30589, 174405, 994381, 5669525] |
| PolyCol5 | [1, 6, 41, 276, 1861, 12546, 84581, 570216, 3844201, 25916286] |
| PolyCol6 | [1, 7, 55, 427, 3319, 25795, 200479, 1558123, 12109735, 94116883] |
| PolyCol7 | [1, 8, 71, 624, 5489, 48280, 424663, 3735264, 32854753, 288984872] |
| PolyCol8 | [1, 9, 89, 873, 8569, 84105, 825497, 8102313, 79524793, 780541641] |
| PolyCol9 | [1, 10, 109, 1180, 12781, 138430, 1499329, 16239160, 175885561, 1905008050] |
[]
Delannoy:Inv:Rev Triangle view
| Row | Seq |
|---|---|
| Row0 | [1] |
| Row1 | [1, -1] |
| Row2 | [1, -3, 2] |
| Row3 | [1, -5, 10, -6] |
| Row4 | [1, -7, 22, -38, 22] |
| Row5 | [1, -9, 38, -98, 158, -90] |
| Row6 | [1, -11, 58, -194, 450, -698, 394] |
| Row7 | [1, -13, 82, -334, 978, -2126, 3218, -1806] |
| Row8 | [1, -15, 110, -526, 1838, -4942, 10286, -15310, 8558] |
| Row9 | [1, -17, 142, -778, 3142, -9922, 25150, -50746, 74614, -41586] |
Delannoy:Inv:Rev Triangles
| Flat | Seq |
|---|---|
| Triangle | [[1], [1, -1], [1, -3, 2], [1, -5, 10, -6], [1, -7, 22, -38, 22], [1, -9, 38, -98, 158, -90], [1, -11, 58, -194, 450, -698, 394], [1, -13, 82, -334, 978, -2126, 3218, -1806], [1, -15, 110, -526, 1838, -4942, 10286, -15310, 8558], [1, -17, 142, -778, 3142, -9922, 25150, -50746, 74614, -41586]] |
| RevTabl | [[1], [-1, 1], [2, -3, 1], [-6, 10, -5, 1], [22, -38, 22, -7, 1], [-90, 158, -98, 38, -9, 1], [394, -698, 450, -194, 58, -11, 1], [-1806, 3218, -2126, 978, -334, 82, -13, 1], [8558, -15310, 10286, -4942, 1838, -526, 110, -15, 1], [-41586, 74614, -50746, 25150, -9922, 3142, -778, 142, -17, 1]] |
| AntiDiag | [[1], [1], [1, -1], [1, -3], [1, -5, 2], [1, -7, 10], [1, -9, 22, -6], [1, -11, 38, -38], [1, -13, 58, -98, 22], [1, -15, 82, -194, 158]] |
| AccTabl | [[1], [1, 0], [1, -2, 0], [1, -4, 6, 0], [1, -6, 16, -22, 0], [1, -8, 30, -68, 90, 0], [1, -10, 48, -146, 304, -394, 0], [1, -12, 70, -264, 714, -1412, 1806, 0], [1, -14, 96, -430, 1408, -3534, 6752, -8558, 0], [1, -16, 126, -652, 2490, -7432, 17718, -33028, 41586, 0]] |
| RevAccTabl | [[1], [0, 1], [0, -2, 1], [0, 6, -4, 1], [0, -22, 16, -6, 1], [0, 90, -68, 30, -8, 1], [0, -394, 304, -146, 48, -10, 1], [0, 1806, -1412, 714, -264, 70, -12, 1], [0, -8558, 6752, -3534, 1408, -430, 96, -14, 1], [0, 41586, -33028, 17718, -7432, 2490, -652, 126, -16, 1]] |
| AccRevTabl | [[1], [-1, 0], [2, -1, 0], [-6, 4, -1, 0], [22, -16, 6, -1, 0], [-90, 68, -30, 8, -1, 0], [394, -304, 146, -48, 10, -1, 0], [-1806, 1412, -714, 264, -70, 12, -1, 0], [8558, -6752, 3534, -1408, 430, -96, 14, -1, 0], [-41586, 33028, -17718, 7432, -2490, 652, -126, 16, -1, 0]] |
| DiffxTabl | [[1], [1, -2], [1, -6, 6], [1, -10, 30, -24], [1, -14, 66, -152, 110], [1, -18, 114, -392, 790, -540], [1, -22, 174, -776, 2250, -4188, 2758], [1, -26, 246, -1336, 4890, -12756, 22526, -14448], [1, -30, 330, -2104, 9190, -29652, 72002, -122480, 77022], [1, -34, 426, -3112, 15710, -59532, 176050, -405968, 671526, -415860]] |
Delannoy:Inv:Rev Row sums
| Trait | Seq |
|---|---|
| RowSum | [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] |
| EvenSum | [1, 1, 3, 11, 45, 197, 903, 4279, 20793, 103049] |
| OddSum | [0, -1, -3, -11, -45, -197, -903, -4279, -20793, -103049] |
| AltSum | [1, 2, 6, 22, 90, 394, 1806, 8558, 41586, 206098] |
| AbsSum | [1, 2, 6, 22, 90, 394, 1806, 8558, 41586, 206098] |
| AccSum | [1, 1, -1, 3, -11, 45, -197, 903, -4279, 20793] |
| AccRevSum | [1, -1, 1, -3, 11, -45, 197, -903, 4279, -20793] |
| DiagSum | [1, 1, 0, -2, -2, 4, 8, -10, -30, 32] |
Delannoy:Inv:Rev Transforms
| Trans | Seq |
|---|---|
| RowLcm | [1, 1, 6, 30, 2926, 6619410, 957340835550, 44816541527197986, 603669538270861563270, 1811421729132682380202432694850] |
| RowGcd | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| RowMax | [1, 1, 3, 10, 38, 158, 698, 3218, 15310, 74614] |
| CentralE | [1, -3, 22, -194, 1838] |
| CentralO | [1, -5, 38, -334, 3142] |
| ColMiddle | [1, 1, -3, -5, 22, 38, -194, -334, 1838, 3142] |
| ColLeft | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| ColRight | [1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586] |
| BinConv | [1, 0, -3, 10, -25, 56, -119, 246, -501, 1012] |
| InvBinConv | [1, -2, 9, -52, 335, -2286, 16149, -116712, 857115, -6369250] |
| TransSqrs | [0, -1, 5, -19, 91, -461, 2409, -12839, 69367, -378553] |
| TransNat0 | [0, -1, 1, -3, 11, -45, 197, -903, 4279, -20793] |
| TransNat1 | [1, -1, 1, -3, 11, -45, 197, -903, 4279, -20793] |
| PosHalf | [1, 1, 0, 2, -6, 26, -114, 526, -2502, 12194] |
| NegHalf | [1, -3, 12, -54, 258, -1278, 6486, -33498, 175314, -927126] |
Delannoy:Inv:Rev Diagonals as rows
| DiagRow | Seq |
|---|---|
| DiagRow0 | [1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586] |
| DiagRow1 | [1, -3, 10, -38, 158, -698, 3218, -15310, 74614, -370610] |
| DiagRow2 | [1, -5, 22, -98, 450, -2126, 10286, -50746, 254410, -1292630] |
| DiagRow3 | [1, -7, 38, -194, 978, -4942, 25150, -129050, 667610, -3480150] |
| DiagRow4 | [1, -9, 58, -334, 1838, -9922, 53154, -284150, 1519910, -8145850] |
| DiagRow5 | [1, -11, 82, -526, 3142, -18082, 101946, -568150, 3145790, -17357050] |
| DiagRow6 | [1, -13, 110, -778, 5018, -30710, 182054, -1057730, 6065410, -34480926] |
| DiagRow7 | [1, -15, 142, -1098, 7610, -49398, 307526, -1861890, 11058466, -64797470] |
| DiagRow8 | [1, -17, 178, -1494, 11078, -76074, 496634, -3131166, 19258078, -116323586] |
| DiagRow9 | [1, -19, 218, -1974, 15598, -113034, 772642, -5068446, 32268038, -200898626] |
Delannoy:Inv:Rev Diagonals as columns
| DiagCol | Seq |
|---|---|
| DiagCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| DiagCol1 | [-1, -3, -5, -7, -9, -11, -13, -15, -17, -19] |
| DiagCol2 | [2, 10, 22, 38, 58, 82, 110, 142, 178, 218] |
| DiagCol3 | [-6, -38, -98, -194, -334, -526, -778, -1098, -1494, -1974] |
| DiagCol4 | [22, 158, 450, 978, 1838, 3142, 5018, 7610, 11078, 15598] |
| DiagCol5 | [-90, -698, -2126, -4942, -9922, -18082, -30710, -49398, -76074, -113034] |
| DiagCol6 | [394, 3218, 10286, 25150, 53154, 101946, 182054, 307526, 496634, 772642] |
| DiagCol7 | [-1806, -15310, -50746, -129050, -284150, -568150, -1057730, -1861890, -3131166, -5068446] |
| DiagCol8 | [8558, 74614, 254410, 667610, 1519910, 3145790, 6065410, 11058466, 19258078, 32268038] |
| DiagCol9 | [-41586, -370610, -1292630, -3480150, -8145850, -17357050, -34480926, -64797470, -116323586, -200898626] |
Delannoy:Inv:Rev Polynomial values as rows
| PolyRow | Seq |
|---|---|
| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| PolyRow1 | [1, 0, -1, -2, -3, -4, -5, -6, -7, -8] |
| PolyRow2 | [1, 0, 3, 10, 21, 36, 55, 78, 105, 136] |
| PolyRow3 | [1, 0, -17, -86, -243, -524, -965, -1602, -2471, -3608] |
| PolyRow4 | [1, 0, 123, 934, 3525, 9516, 21055, 40818, 72009, 118360] |
| PolyRow5 | [1, 0, -1001, -11402, -57411, -193844, -514925, -1165086, -2349767, -4346216] |
| PolyRow6 | [1, 0, 8739, 149314, 1002741, 4233396, 13498135, 35639094, 82160169, 170987176] |
| PolyRow7 | [1, 0, -79969, -2049518, -18355347, -96884764, -370758965, -1142218314, -3009701863, -7047223352] |
| PolyRow8 | [1, 0, 756939, 29099278, 347527461, 2293235676, 10532080495, 37858038954, 114013757193, 300352849336] |
| PolyRow9 | [1, 0, -7349657, -423818258, -6749428707, -55677261284, -306873675965, -1287002354742, -4429905039623, -13129297043912] |
Delannoy:Inv:Rev Polynomial values as columns
| PolyCol | Seq |
|---|---|
| PolyCol0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| PolyCol1 | [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] |
| PolyCol2 | [1, -1, 3, -17, 123, -1001, 8739, -79969, 756939, -7349657] |
| PolyCol3 | [1, -2, 10, -86, 934, -11402, 149314, -2049518, 29099278, -423818258] |
| PolyCol4 | [1, -3, 21, -243, 3525, -57411, 1002741, -18355347, 347527461, -6749428707] |
| PolyCol5 | [1, -4, 36, -524, 9516, -193844, 4233396, -96884764, 2293235676, -55677261284] |
| PolyCol6 | [1, -5, 55, -965, 21055, -514925, 13498135, -370758965, 10532080495, -306873675965] |
| PolyCol7 | [1, -6, 78, -1602, 40818, -1165086, 35639094, -1142218314, 37858038954, -1287002354742] |
| PolyCol8 | [1, -7, 105, -2471, 72009, -2349767, 82160169, -3009701863, 114013757193, -4429905039623] |
| PolyCol9 | [1, -8, 136, -3608, 118360, -4346216, 170987176, -7047223352, 300352849336, -13129297043912] |
[]
Delannoy:Rev:Inv Triangle view
| Row | Seq |
|---|---|
| Row0 | [1] |
| Row1 | [-1, 1] |
| Row2 | [2, -3, 1] |
| Row3 | [-6, 10, -5, 1] |
| Row4 | [22, -38, 22, -7, 1] |
| Row5 | [-90, 158, -98, 38, -9, 1] |
| Row6 | [394, -698, 450, -194, 58, -11, 1] |
| Row7 | [-1806, 3218, -2126, 978, -334, 82, -13, 1] |
| Row8 | [8558, -15310, 10286, -4942, 1838, -526, 110, -15, 1] |
| Row9 | [-41586, 74614, -50746, 25150, -9922, 3142, -778, 142, -17, 1] |
Delannoy:Rev:Inv Triangles
| Flat | Seq |
|---|---|
| Triangle | [[1], [-1, 1], [2, -3, 1], [-6, 10, -5, 1], [22, -38, 22, -7, 1], [-90, 158, -98, 38, -9, 1], [394, -698, 450, -194, 58, -11, 1], [-1806, 3218, -2126, 978, -334, 82, -13, 1], [8558, -15310, 10286, -4942, 1838, -526, 110, -15, 1], [-41586, 74614, -50746, 25150, -9922, 3142, -778, 142, -17, 1]] |
| RevTabl | [[1], [1, -1], [1, -3, 2], [1, -5, 10, -6], [1, -7, 22, -38, 22], [1, -9, 38, -98, 158, -90], [1, -11, 58, -194, 450, -698, 394], [1, -13, 82, -334, 978, -2126, 3218, -1806], [1, -15, 110, -526, 1838, -4942, 10286, -15310, 8558], [1, -17, 142, -778, 3142, -9922, 25150, -50746, 74614, -41586]] |
| AntiDiag | [[1], [-1], [2, 1], [-6, -3], [22, 10, 1], [-90, -38, -5], [394, 158, 22, 1], [-1806, -698, -98, -7], [8558, 3218, 450, 38, 1], [-41586, -15310, -2126, -194, -9]] |
| AccTabl | [[1], [-1, 0], [2, -1, 0], [-6, 4, -1, 0], [22, -16, 6, -1, 0], [-90, 68, -30, 8, -1, 0], [394, -304, 146, -48, 10, -1, 0], [-1806, 1412, -714, 264, -70, 12, -1, 0], [8558, -6752, 3534, -1408, 430, -96, 14, -1, 0], [-41586, 33028, -17718, 7432, -2490, 652, -126, 16, -1, 0]] |
| RevAccTabl | [[1], [0, -1], [0, -1, 2], [0, -1, 4, -6], [0, -1, 6, -16, 22], [0, -1, 8, -30, 68, -90], [0, -1, 10, -48, 146, -304, 394], [0, -1, 12, -70, 264, -714, 1412, -1806], [0, -1, 14, -96, 430, -1408, 3534, -6752, 8558], [0, -1, 16, -126, 652, -2490, 7432, -17718, 33028, -41586]] |
| AccRevTabl | [[1], [1, 0], [1, -2, 0], [1, -4, 6, 0], [1, -6, 16, -22, 0], [1, -8, 30, -68, 90, 0], [1, -10, 48, -146, 304, -394, 0], [1, -12, 70, -264, 714, -1412, 1806, 0], [1, -14, 96, -430, 1408, -3534, 6752, -8558, 0], [1, -16, 126, -652, 2490, -7432, 17718, -33028, 41586, 0]] |
| DiffxTabl | [[1], [-1, 2], [2, -6, 3], [-6, 20, -15, 4], [22, -76, 66, -28, 5], [-90, 316, -294, 152, -45, 6], [394, -1396, 1350, -776, 290, -66, 7], [-1806, 6436, -6378, 3912, -1670, 492, -91, 8], [8558, -30620, 30858, -19768, 9190, -3156, 770, -120, 9], [-41586, 149228, -152238, 100600, -49610, 18852, -5446, 1136, -153, 10]] |
Delannoy:Rev:Inv Row sums
| Trait | Seq |
|---|---|
| RowSum | [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] |
| EvenSum | [1, -1, 3, -11, 45, -197, 903, -4279, 20793, -103049] |
| OddSum | [0, 1, -3, 11, -45, 197, -903, 4279, -20793, 103049] |
| AltSum | [1, -2, 6, -22, 90, -394, 1806, -8558, 41586, -206098] |
| AbsSum | [1, 2, 6, 22, 90, 394, 1806, 8558, 41586, 206098] |
| AccSum | [1, -1, 1, -3, 11, -45, 197, -903, 4279, -20793] |
| AccRevSum | [1, 1, -1, 3, -11, 45, -197, 903, -4279, 20793] |
| DiagSum | [1, -1, 3, -9, 33, -133, 575, -2609, 12265, -59225] |
Delannoy:Rev:Inv Transforms
| Trans | Seq |
|---|---|
| RowLcm | [1, 1, 6, 30, 2926, 6619410, 957340835550, 44816541527197986, 603669538270861563270, 1811421729132682380202432694850] |
| RowGcd | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| RowMax | [1, 1, 3, 10, 38, 158, 698, 3218, 15310, 74614] |
| CentralE | [1, -3, 22, -194, 1838] |
| CentralO | [-1, 10, -98, 978, -9922] |
| ColMiddle | [1, -1, -3, 10, 22, -98, -194, 978, 1838, -9922] |
| ColLeft | [1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586] |
| ColRight | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| BinConv | [1, 0, -3, 10, -25, 56, -119, 246, -501, 1012] |
| InvBinConv | [1, 2, 9, 52, 335, 2286, 16149, 116712, 857115, 6369250] |
| TransSqrs | [0, 1, 1, -1, 3, -11, 45, -197, 903, -4279] |
| TransNat0 | [0, 1, -1, 3, -11, 45, -197, 903, -4279, 20793] |
| TransNat1 | [1, 1, -1, 3, -11, 45, -197, 903, -4279, 20793] |
| PosHalf | [1, -1, 3, -17, 123, -1001, 8739, -79969, 756939, -7349657] |
| NegHalf | [1, 3, 15, 99, 759, 6363, 56559, 523827, 5001063, 48872907] |
Delannoy:Rev:Inv Diagonals as rows
| DiagRow | Seq |
|---|---|
| DiagRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| DiagRow1 | [-1, -3, -5, -7, -9, -11, -13, -15, -17, -19] |
| DiagRow2 | [2, 10, 22, 38, 58, 82, 110, 142, 178, 218] |
| DiagRow3 | [-6, -38, -98, -194, -334, -526, -778, -1098, -1494, -1974] |
| DiagRow4 | [22, 158, 450, 978, 1838, 3142, 5018, 7610, 11078, 15598] |
| DiagRow5 | [-90, -698, -2126, -4942, -9922, -18082, -30710, -49398, -76074, -113034] |
| DiagRow6 | [394, 3218, 10286, 25150, 53154, 101946, 182054, 307526, 496634, 772642] |
| DiagRow7 | [-1806, -15310, -50746, -129050, -284150, -568150, -1057730, -1861890, -3131166, -5068446] |
| DiagRow8 | [8558, 74614, 254410, 667610, 1519910, 3145790, 6065410, 11058466, 19258078, 32268038] |
| DiagRow9 | [-41586, -370610, -1292630, -3480150, -8145850, -17357050, -34480926, -64797470, -116323586, -200898626] |
Delannoy:Rev:Inv Diagonals as columns
| DiagCol | Seq |
|---|---|
| DiagCol0 | [1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586] |
| DiagCol1 | [1, -3, 10, -38, 158, -698, 3218, -15310, 74614, -370610] |
| DiagCol2 | [1, -5, 22, -98, 450, -2126, 10286, -50746, 254410, -1292630] |
| DiagCol3 | [1, -7, 38, -194, 978, -4942, 25150, -129050, 667610, -3480150] |
| DiagCol4 | [1, -9, 58, -334, 1838, -9922, 53154, -284150, 1519910, -8145850] |
| DiagCol5 | [1, -11, 82, -526, 3142, -18082, 101946, -568150, 3145790, -17357050] |
| DiagCol6 | [1, -13, 110, -778, 5018, -30710, 182054, -1057730, 6065410, -34480926] |
| DiagCol7 | [1, -15, 142, -1098, 7610, -49398, 307526, -1861890, 11058466, -64797470] |
| DiagCol8 | [1, -17, 178, -1494, 11078, -76074, 496634, -3131166, 19258078, -116323586] |
| DiagCol9 | [1, -19, 218, -1974, 15598, -113034, 772642, -5068446, 32268038, -200898626] |
Delannoy:Rev:Inv Polynomial values as rows
| PolyRow | Seq |
|---|---|
| PolyRow0 | [1, 1, 1, 1, 1, 1, 1, 1, 1, 1] |
| PolyRow1 | [-1, 0, 1, 2, 3, 4, 5, 6, 7, 8] |
| PolyRow2 | [2, 0, 0, 2, 6, 12, 20, 30, 42, 56] |
| PolyRow3 | [-6, 0, 2, 6, 18, 44, 90, 162, 266, 408] |
| PolyRow4 | [22, 0, -6, -2, 30, 132, 370, 834, 1638, 2920] |
| PolyRow5 | [-90, 0, 26, 42, 126, 500, 1650, 4446, 10262, 21096] |
| PolyRow6 | [394, 0, -114, -134, 66, 1404, 6790, 23046, 63546, 151576] |
| PolyRow7 | [-1806, 0, 526, 702, 1242, 5884, 30390, 122346, 396802, 1092792] |
| PolyRow8 | [8558, 0, -2502, -3226, -2154, 13908, 124130, 635898, 2462334, 7861256] |
| PolyRow9 | [-41586, 0, 12194, 15954, 19782, 74084, 561690, 3369654, 15353534, 56634312] |
Delannoy:Rev:Inv Polynomial values as columns
| PolyCol | Seq |
|---|---|
| PolyCol0 | [1, -1, 2, -6, 22, -90, 394, -1806, 8558, -41586] |
| PolyCol1 | [1, 0, 0, 0, 0, 0, 0, 0, 0, 0] |
| PolyCol2 | [1, 1, 0, 2, -6, 26, -114, 526, -2502, 12194] |
| PolyCol3 | [1, 2, 2, 6, -2, 42, -134, 702, -3226, 15954] |
| PolyCol4 | [1, 3, 6, 18, 30, 126, 66, 1242, -2154, 19782] |
| PolyCol5 | [1, 4, 12, 44, 132, 500, 1404, 5884, 13908, 74084] |
| PolyCol6 | [1, 5, 20, 90, 370, 1650, 6790, 30390, 124130, 561690] |
| PolyCol7 | [1, 6, 30, 162, 834, 4446, 23046, 122346, 635898, 3369654] |
| PolyCol8 | [1, 7, 42, 266, 1638, 10262, 63546, 396802, 2462334, 15353534] |
| PolyCol9 | [1, 8, 56, 408, 2920, 21096, 151576, 1092792, 7861256, 56634312] |