Skip to content

Latest commit

 

History

History
615 lines (530 loc) · 27.6 KB

One.tbl.md

File metadata and controls

615 lines (530 loc) · 27.6 KB

One

['A000012', 'A008836', 'A014077']

One Triangle view

Row Seq
Row0 [1]
Row1 [1, 1]
Row2 [1, 1, 1]
Row3 [1, 1, 1, 1]
Row4 [1, 1, 1, 1, 1]
Row5 [1, 1, 1, 1, 1, 1]
Row6 [1, 1, 1, 1, 1, 1, 1]
Row7 [1, 1, 1, 1, 1, 1, 1, 1]
Row8 [1, 1, 1, 1, 1, 1, 1, 1, 1]
Row9 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

One Triangles

Flat Seq
Triangle [[1], [1, 1], [1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]
RevTabl [[1], [1, 1], [1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]
AntiDiag [[1], [1], [1, 1], [1, 1], [1, 1, 1], [1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1]]
AccTabl [[1], [1, 2], [1, 2, 3], [1, 2, 3, 4], [1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]]
RevAccTabl [[1], [2, 1], [3, 2, 1], [4, 3, 2, 1], [5, 4, 3, 2, 1], [6, 5, 4, 3, 2, 1], [7, 6, 5, 4, 3, 2, 1], [8, 7, 6, 5, 4, 3, 2, 1], [9, 8, 7, 6, 5, 4, 3, 2, 1], [10, 9, 8, 7, 6, 5, 4, 3, 2, 1]]
AccRevTabl [[1], [1, 2], [1, 2, 3], [1, 2, 3, 4], [1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]]
DiffxTabl [[1], [1, 2], [1, 2, 3], [1, 2, 3, 4], [1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]]

One Row sums

Trait Seq
RowSum [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
EvenSum [1, 1, 2, 2, 3, 3, 4, 4, 5, 5]
OddSum [0, 1, 1, 2, 2, 3, 3, 4, 4, 5]
AltSum [1, 0, 1, 0, 1, 0, 1, 0, 1, 0]
AbsSum [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
AccSum [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]
AccRevSum [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]
DiagSum [1, 1, 2, 2, 3, 3, 4, 4, 5, 5]

One Transforms

Trans Seq
RowLcm [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowGcd [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
CentralE [1, 1, 1, 1, 1]
CentralO [1, 1, 1, 1, 1]
ColMiddle [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
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, 4, 8, 16, 32, 64, 128, 256, 512]
InvBinConv [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
TransSqrs [0, 1, 5, 14, 30, 55, 91, 140, 204, 285]
TransNat0 [0, 1, 3, 6, 10, 15, 21, 28, 36, 45]
TransNat1 [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]
PosHalf [1, 3, 7, 15, 31, 63, 127, 255, 511, 1023]
NegHalf [1, -1, 3, -5, 11, -21, 43, -85, 171, -341]

One Diagonals as rows

DiagRow Seq
DiagRow0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow2 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow3 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow4 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow5 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow6 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow7 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow8 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow9 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

One Diagonals as columns

DiagCol Seq
DiagCol0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol2 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol3 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol4 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol5 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol6 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol7 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol8 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol9 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

One 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, 3, 7, 13, 21, 31, 43, 57, 73, 91]
PolyRow3 [1, 4, 15, 40, 85, 156, 259, 400, 585, 820]
PolyRow4 [1, 5, 31, 121, 341, 781, 1555, 2801, 4681, 7381]
PolyRow5 [1, 6, 63, 364, 1365, 3906, 9331, 19608, 37449, 66430]
PolyRow6 [1, 7, 127, 1093, 5461, 19531, 55987, 137257, 299593, 597871]
PolyRow7 [1, 8, 255, 3280, 21845, 97656, 335923, 960800, 2396745, 5380840]
PolyRow8 [1, 9, 511, 9841, 87381, 488281, 2015539, 6725601, 19173961, 48427561]
PolyRow9 [1, 10, 1023, 29524, 349525, 2441406, 12093235, 47079208, 153391689, 435848050]

One Polynomial values as columns

PolyCol Seq
PolyCol0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PolyCol1 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
PolyCol2 [1, 3, 7, 15, 31, 63, 127, 255, 511, 1023]
PolyCol3 [1, 4, 13, 40, 121, 364, 1093, 3280, 9841, 29524]
PolyCol4 [1, 5, 21, 85, 341, 1365, 5461, 21845, 87381, 349525]
PolyCol5 [1, 6, 31, 156, 781, 3906, 19531, 97656, 488281, 2441406]
PolyCol6 [1, 7, 43, 259, 1555, 9331, 55987, 335923, 2015539, 12093235]
PolyCol7 [1, 8, 57, 400, 2801, 19608, 137257, 960800, 6725601, 47079208]
PolyCol8 [1, 9, 73, 585, 4681, 37449, 299593, 2396745, 19173961, 153391689]
PolyCol9 [1, 10, 91, 820, 7381, 66430, 597871, 5380840, 48427561, 435848050]

One:Inv

[]

One:Inv Triangle view

Row Seq
Row0 [1]
Row1 [-1, 1]
Row2 [0, -1, 1]
Row3 [0, 0, -1, 1]
Row4 [0, 0, 0, -1, 1]
Row5 [0, 0, 0, 0, -1, 1]
Row6 [0, 0, 0, 0, 0, -1, 1]
Row7 [0, 0, 0, 0, 0, 0, -1, 1]
Row8 [0, 0, 0, 0, 0, 0, 0, -1, 1]
Row9 [0, 0, 0, 0, 0, 0, 0, 0, -1, 1]

One:Inv Triangles

Flat Seq
Triangle [[1], [-1, 1], [0, -1, 1], [0, 0, -1, 1], [0, 0, 0, -1, 1], [0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, -1, 1]]
RevTabl [[1], [1, -1], [1, -1, 0], [1, -1, 0, 0], [1, -1, 0, 0, 0], [1, -1, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]]
AntiDiag [[1], [-1], [0, 1], [0, -1], [0, 0, 1], [0, 0, -1], [0, 0, 0, 1], [0, 0, 0, -1], [0, 0, 0, 0, 1], [0, 0, 0, 0, -1]]
AccTabl [[1], [-1, 0], [0, -1, 0], [0, 0, -1, 0], [0, 0, 0, -1, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0]]
RevAccTabl [[1], [0, -1], [0, -1, 0], [0, -1, 0, 0], [0, -1, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0]]
AccRevTabl [[1], [1, 0], [1, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
DiffxTabl [[1], [-1, 2], [0, -2, 3], [0, 0, -3, 4], [0, 0, 0, -4, 5], [0, 0, 0, 0, -5, 6], [0, 0, 0, 0, 0, -6, 7], [0, 0, 0, 0, 0, 0, -7, 8], [0, 0, 0, 0, 0, 0, 0, -8, 9], [0, 0, 0, 0, 0, 0, 0, 0, -9, 10]]

One:Inv Row sums

Trait Seq
RowSum [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
EvenSum [1, -1, 1, -1, 1, -1, 1, -1, 1, -1]
OddSum [0, 1, -1, 1, -1, 1, -1, 1, -1, 1]
AltSum [1, -2, 2, -2, 2, -2, 2, -2, 2, -2]
AbsSum [1, 2, 2, 2, 2, 2, 2, 2, 2, 2]
AccSum [1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
AccRevSum [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagSum [1, -1, 1, -1, 1, -1, 1, -1, 1, -1]

One:Inv Transforms

Trans Seq
RowLcm [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowGcd [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
CentralE [1, -1, 0, 0, 0]
CentralO [-1, 0, 0, 0, 0]
ColMiddle [1, -1, -1, 0, 0, 0, 0, 0, 0, 0]
ColLeft [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
ColRight [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
BinConv [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
InvBinConv [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
TransSqrs [0, 1, 3, 5, 7, 9, 11, 13, 15, 17]
TransNat0 [0, 1, 1, 1, 1, 1, 1, 1, 1, 1]
TransNat1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PosHalf [1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
NegHalf [1, 3, 3, 3, 3, 3, 3, 3, 3, 3]

One:Inv Diagonals as rows

DiagRow Seq
DiagRow0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow1 [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
DiagRow2 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow3 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow4 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow5 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow6 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow7 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow8 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow9 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

One:Inv Diagonals as columns

DiagCol Seq
DiagCol0 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol1 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol2 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol3 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol4 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol5 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol6 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol7 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol8 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol9 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]

One: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 [0, 0, 2, 6, 12, 20, 30, 42, 56, 72]
PolyRow3 [0, 0, 4, 18, 48, 100, 180, 294, 448, 648]
PolyRow4 [0, 0, 8, 54, 192, 500, 1080, 2058, 3584, 5832]
PolyRow5 [0, 0, 16, 162, 768, 2500, 6480, 14406, 28672, 52488]
PolyRow6 [0, 0, 32, 486, 3072, 12500, 38880, 100842, 229376, 472392]
PolyRow7 [0, 0, 64, 1458, 12288, 62500, 233280, 705894, 1835008, 4251528]
PolyRow8 [0, 0, 128, 4374, 49152, 312500, 1399680, 4941258, 14680064, 38263752]
PolyRow9 [0, 0, 256, 13122, 196608, 1562500, 8398080, 34588806, 117440512, 344373768]

One:Inv Polynomial values as columns

PolyCol Seq
PolyCol0 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
PolyCol1 [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
PolyCol2 [1, 1, 2, 4, 8, 16, 32, 64, 128, 256]
PolyCol3 [1, 2, 6, 18, 54, 162, 486, 1458, 4374, 13122]
PolyCol4 [1, 3, 12, 48, 192, 768, 3072, 12288, 49152, 196608]
PolyCol5 [1, 4, 20, 100, 500, 2500, 12500, 62500, 312500, 1562500]
PolyCol6 [1, 5, 30, 180, 1080, 6480, 38880, 233280, 1399680, 8398080]
PolyCol7 [1, 6, 42, 294, 2058, 14406, 100842, 705894, 4941258, 34588806]
PolyCol8 [1, 7, 56, 448, 3584, 28672, 229376, 1835008, 14680064, 117440512]
PolyCol9 [1, 8, 72, 648, 5832, 52488, 472392, 4251528, 38263752, 344373768]

One:Rev

[]

One:Rev Triangle view

Row Seq
Row0 [1]
Row1 [1, 1]
Row2 [1, 1, 1]
Row3 [1, 1, 1, 1]
Row4 [1, 1, 1, 1, 1]
Row5 [1, 1, 1, 1, 1, 1]
Row6 [1, 1, 1, 1, 1, 1, 1]
Row7 [1, 1, 1, 1, 1, 1, 1, 1]
Row8 [1, 1, 1, 1, 1, 1, 1, 1, 1]
Row9 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

One:Rev Triangles

Flat Seq
Triangle [[1], [1, 1], [1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]
RevTabl [[1], [1, 1], [1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1], [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]]
AntiDiag [[1], [1], [1, 1], [1, 1], [1, 1, 1], [1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1], [1, 1, 1, 1, 1], [1, 1, 1, 1, 1]]
AccTabl [[1], [1, 2], [1, 2, 3], [1, 2, 3, 4], [1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]]
RevAccTabl [[1], [2, 1], [3, 2, 1], [4, 3, 2, 1], [5, 4, 3, 2, 1], [6, 5, 4, 3, 2, 1], [7, 6, 5, 4, 3, 2, 1], [8, 7, 6, 5, 4, 3, 2, 1], [9, 8, 7, 6, 5, 4, 3, 2, 1], [10, 9, 8, 7, 6, 5, 4, 3, 2, 1]]
AccRevTabl [[1], [1, 2], [1, 2, 3], [1, 2, 3, 4], [1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]]
DiffxTabl [[1], [1, 2], [1, 2, 3], [1, 2, 3, 4], [1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]]

One:Rev Row sums

Trait Seq
RowSum [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
EvenSum [1, 1, 2, 2, 3, 3, 4, 4, 5, 5]
OddSum [0, 1, 1, 2, 2, 3, 3, 4, 4, 5]
AltSum [1, 0, 1, 0, 1, 0, 1, 0, 1, 0]
AbsSum [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
AccSum [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]
AccRevSum [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]
DiagSum [1, 1, 2, 2, 3, 3, 4, 4, 5, 5]

One:Rev Transforms

Trans Seq
RowLcm [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowGcd [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
CentralE [1, 1, 1, 1, 1]
CentralO [1, 1, 1, 1, 1]
ColMiddle [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
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, 4, 8, 16, 32, 64, 128, 256, 512]
InvBinConv [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
TransSqrs [0, 1, 5, 14, 30, 55, 91, 140, 204, 285]
TransNat0 [0, 1, 3, 6, 10, 15, 21, 28, 36, 45]
TransNat1 [1, 3, 6, 10, 15, 21, 28, 36, 45, 55]
PosHalf [1, 3, 7, 15, 31, 63, 127, 255, 511, 1023]
NegHalf [1, -1, 3, -5, 11, -21, 43, -85, 171, -341]

One:Rev Diagonals as rows

DiagRow Seq
DiagRow0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow2 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow3 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow4 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow5 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow6 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow7 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow8 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow9 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

One:Rev Diagonals as columns

DiagCol Seq
DiagCol0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol2 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol3 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol4 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol5 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol6 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol7 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol8 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol9 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]

One: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, 3, 7, 13, 21, 31, 43, 57, 73, 91]
PolyRow3 [1, 4, 15, 40, 85, 156, 259, 400, 585, 820]
PolyRow4 [1, 5, 31, 121, 341, 781, 1555, 2801, 4681, 7381]
PolyRow5 [1, 6, 63, 364, 1365, 3906, 9331, 19608, 37449, 66430]
PolyRow6 [1, 7, 127, 1093, 5461, 19531, 55987, 137257, 299593, 597871]
PolyRow7 [1, 8, 255, 3280, 21845, 97656, 335923, 960800, 2396745, 5380840]
PolyRow8 [1, 9, 511, 9841, 87381, 488281, 2015539, 6725601, 19173961, 48427561]
PolyRow9 [1, 10, 1023, 29524, 349525, 2441406, 12093235, 47079208, 153391689, 435848050]

One:Rev Polynomial values as columns

PolyCol Seq
PolyCol0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PolyCol1 [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
PolyCol2 [1, 3, 7, 15, 31, 63, 127, 255, 511, 1023]
PolyCol3 [1, 4, 13, 40, 121, 364, 1093, 3280, 9841, 29524]
PolyCol4 [1, 5, 21, 85, 341, 1365, 5461, 21845, 87381, 349525]
PolyCol5 [1, 6, 31, 156, 781, 3906, 19531, 97656, 488281, 2441406]
PolyCol6 [1, 7, 43, 259, 1555, 9331, 55987, 335923, 2015539, 12093235]
PolyCol7 [1, 8, 57, 400, 2801, 19608, 137257, 960800, 6725601, 47079208]
PolyCol8 [1, 9, 73, 585, 4681, 37449, 299593, 2396745, 19173961, 153391689]
PolyCol9 [1, 10, 91, 820, 7381, 66430, 597871, 5380840, 48427561, 435848050]

One:Inv:Rev

[]

One:Inv:Rev Triangle view

Row Seq
Row0 [1]
Row1 [1, -1]
Row2 [1, -1, 0]
Row3 [1, -1, 0, 0]
Row4 [1, -1, 0, 0, 0]
Row5 [1, -1, 0, 0, 0, 0]
Row6 [1, -1, 0, 0, 0, 0, 0]
Row7 [1, -1, 0, 0, 0, 0, 0, 0]
Row8 [1, -1, 0, 0, 0, 0, 0, 0, 0]
Row9 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]

One:Inv:Rev Triangles

Flat Seq
Triangle [[1], [1, -1], [1, -1, 0], [1, -1, 0, 0], [1, -1, 0, 0, 0], [1, -1, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]]
RevTabl [[1], [-1, 1], [0, -1, 1], [0, 0, -1, 1], [0, 0, 0, -1, 1], [0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, -1, 1]]
AntiDiag [[1], [1], [1, -1], [1, -1], [1, -1, 0], [1, -1, 0], [1, -1, 0, 0], [1, -1, 0, 0], [1, -1, 0, 0, 0], [1, -1, 0, 0, 0]]
AccTabl [[1], [1, 0], [1, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
RevAccTabl [[1], [0, 1], [0, 0, 1], [0, 0, 0, 1], [0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 1]]
AccRevTabl [[1], [-1, 0], [0, -1, 0], [0, 0, -1, 0], [0, 0, 0, -1, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0]]
DiffxTabl [[1], [1, -2], [1, -2, 0], [1, -2, 0, 0], [1, -2, 0, 0, 0], [1, -2, 0, 0, 0, 0], [1, -2, 0, 0, 0, 0, 0], [1, -2, 0, 0, 0, 0, 0, 0], [1, -2, 0, 0, 0, 0, 0, 0, 0], [1, -2, 0, 0, 0, 0, 0, 0, 0, 0]]

One:Inv:Rev Row sums

Trait Seq
RowSum [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
EvenSum [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
OddSum [0, -1, -1, -1, -1, -1, -1, -1, -1, -1]
AltSum [1, 2, 2, 2, 2, 2, 2, 2, 2, 2]
AbsSum [1, 2, 2, 2, 2, 2, 2, 2, 2, 2]
AccSum [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
AccRevSum [1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
DiagSum [1, 1, 0, 0, 0, 0, 0, 0, 0, 0]

One:Inv:Rev Transforms

Trans Seq
RowLcm [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowGcd [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
CentralE [1, -1, 0, 0, 0]
CentralO [1, -1, 0, 0, 0]
ColMiddle [1, 1, -1, -1, 0, 0, 0, 0, 0, 0]
ColLeft [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
ColRight [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
BinConv [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
InvBinConv [1, -2, 3, -4, 5, -6, 7, -8, 9, -10]
TransSqrs [0, -1, -1, -1, -1, -1, -1, -1, -1, -1]
TransNat0 [0, -1, -1, -1, -1, -1, -1, -1, -1, -1]
TransNat1 [1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
PosHalf [1, 1, 2, 4, 8, 16, 32, 64, 128, 256]
NegHalf [1, -3, 6, -12, 24, -48, 96, -192, 384, -768]

One:Inv:Rev Diagonals as rows

DiagRow Seq
DiagRow0 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow1 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow2 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow3 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow4 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow5 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow6 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow7 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow8 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow9 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]

One:Inv:Rev Diagonals as columns

DiagCol Seq
DiagCol0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagCol1 [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
DiagCol2 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol3 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol4 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol5 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol6 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol7 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol8 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol9 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

One: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, -1, -2, -3, -4, -5, -6, -7, -8]
PolyRow3 [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
PolyRow4 [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
PolyRow5 [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
PolyRow6 [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
PolyRow7 [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
PolyRow8 [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
PolyRow9 [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]

One: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, -1, -1, -1, -1, -1, -1, -1, -1]
PolyCol3 [1, -2, -2, -2, -2, -2, -2, -2, -2, -2]
PolyCol4 [1, -3, -3, -3, -3, -3, -3, -3, -3, -3]
PolyCol5 [1, -4, -4, -4, -4, -4, -4, -4, -4, -4]
PolyCol6 [1, -5, -5, -5, -5, -5, -5, -5, -5, -5]
PolyCol7 [1, -6, -6, -6, -6, -6, -6, -6, -6, -6]
PolyCol8 [1, -7, -7, -7, -7, -7, -7, -7, -7, -7]
PolyCol9 [1, -8, -8, -8, -8, -8, -8, -8, -8, -8]

One:Rev:Inv

[]

One:Rev:Inv Triangle view

Row Seq
Row0 [1]
Row1 [-1, 1]
Row2 [0, -1, 1]
Row3 [0, 0, -1, 1]
Row4 [0, 0, 0, -1, 1]
Row5 [0, 0, 0, 0, -1, 1]
Row6 [0, 0, 0, 0, 0, -1, 1]
Row7 [0, 0, 0, 0, 0, 0, -1, 1]
Row8 [0, 0, 0, 0, 0, 0, 0, -1, 1]
Row9 [0, 0, 0, 0, 0, 0, 0, 0, -1, 1]

One:Rev:Inv Triangles

Flat Seq
Triangle [[1], [-1, 1], [0, -1, 1], [0, 0, -1, 1], [0, 0, 0, -1, 1], [0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, -1, 1], [0, 0, 0, 0, 0, 0, 0, 0, -1, 1]]
RevTabl [[1], [1, -1], [1, -1, 0], [1, -1, 0, 0], [1, -1, 0, 0, 0], [1, -1, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]]
AntiDiag [[1], [-1], [0, 1], [0, -1], [0, 0, 1], [0, 0, -1], [0, 0, 0, 1], [0, 0, 0, -1], [0, 0, 0, 0, 1], [0, 0, 0, 0, -1]]
AccTabl [[1], [-1, 0], [0, -1, 0], [0, 0, -1, 0], [0, 0, 0, -1, 0], [0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, -1, 0]]
RevAccTabl [[1], [0, -1], [0, -1, 0], [0, -1, 0, 0], [0, -1, 0, 0, 0], [0, -1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, 0]]
AccRevTabl [[1], [1, 0], [1, 0, 0], [1, 0, 0, 0], [1, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]]
DiffxTabl [[1], [-1, 2], [0, -2, 3], [0, 0, -3, 4], [0, 0, 0, -4, 5], [0, 0, 0, 0, -5, 6], [0, 0, 0, 0, 0, -6, 7], [0, 0, 0, 0, 0, 0, -7, 8], [0, 0, 0, 0, 0, 0, 0, -8, 9], [0, 0, 0, 0, 0, 0, 0, 0, -9, 10]]

One:Rev:Inv Row sums

Trait Seq
RowSum [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
EvenSum [1, -1, 1, -1, 1, -1, 1, -1, 1, -1]
OddSum [0, 1, -1, 1, -1, 1, -1, 1, -1, 1]
AltSum [1, -2, 2, -2, 2, -2, 2, -2, 2, -2]
AbsSum [1, 2, 2, 2, 2, 2, 2, 2, 2, 2]
AccSum [1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
AccRevSum [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagSum [1, -1, 1, -1, 1, -1, 1, -1, 1, -1]

One:Rev:Inv Transforms

Trans Seq
RowLcm [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowGcd [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
RowMax [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
CentralE [1, -1, 0, 0, 0]
CentralO [-1, 0, 0, 0, 0]
ColMiddle [1, -1, -1, 0, 0, 0, 0, 0, 0, 0]
ColLeft [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
ColRight [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
BinConv [1, 0, -1, -2, -3, -4, -5, -6, -7, -8]
InvBinConv [1, 2, 3, 4, 5, 6, 7, 8, 9, 10]
TransSqrs [0, 1, 3, 5, 7, 9, 11, 13, 15, 17]
TransNat0 [0, 1, 1, 1, 1, 1, 1, 1, 1, 1]
TransNat1 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
PosHalf [1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
NegHalf [1, 3, 3, 3, 3, 3, 3, 3, 3, 3]

One:Rev:Inv Diagonals as rows

DiagRow Seq
DiagRow0 [1, 1, 1, 1, 1, 1, 1, 1, 1, 1]
DiagRow1 [-1, -1, -1, -1, -1, -1, -1, -1, -1, -1]
DiagRow2 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow3 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow4 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow5 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow6 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow7 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow8 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]
DiagRow9 [0, 0, 0, 0, 0, 0, 0, 0, 0, 0]

One:Rev:Inv Diagonals as columns

DiagCol Seq
DiagCol0 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol1 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol2 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol3 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol4 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol5 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol6 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol7 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol8 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
DiagCol9 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]

One: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 [0, 0, 2, 6, 12, 20, 30, 42, 56, 72]
PolyRow3 [0, 0, 4, 18, 48, 100, 180, 294, 448, 648]
PolyRow4 [0, 0, 8, 54, 192, 500, 1080, 2058, 3584, 5832]
PolyRow5 [0, 0, 16, 162, 768, 2500, 6480, 14406, 28672, 52488]
PolyRow6 [0, 0, 32, 486, 3072, 12500, 38880, 100842, 229376, 472392]
PolyRow7 [0, 0, 64, 1458, 12288, 62500, 233280, 705894, 1835008, 4251528]
PolyRow8 [0, 0, 128, 4374, 49152, 312500, 1399680, 4941258, 14680064, 38263752]
PolyRow9 [0, 0, 256, 13122, 196608, 1562500, 8398080, 34588806, 117440512, 344373768]

One:Rev:Inv Polynomial values as columns

PolyCol Seq
PolyCol0 [1, -1, 0, 0, 0, 0, 0, 0, 0, 0]
PolyCol1 [1, 0, 0, 0, 0, 0, 0, 0, 0, 0]
PolyCol2 [1, 1, 2, 4, 8, 16, 32, 64, 128, 256]
PolyCol3 [1, 2, 6, 18, 54, 162, 486, 1458, 4374, 13122]
PolyCol4 [1, 3, 12, 48, 192, 768, 3072, 12288, 49152, 196608]
PolyCol5 [1, 4, 20, 100, 500, 2500, 12500, 62500, 312500, 1562500]
PolyCol6 [1, 5, 30, 180, 1080, 6480, 38880, 233280, 1399680, 8398080]
PolyCol7 [1, 6, 42, 294, 2058, 14406, 100842, 705894, 4941258, 34588806]
PolyCol8 [1, 7, 56, 448, 3584, 28672, 229376, 1835008, 14680064, 117440512]
PolyCol9 [1, 8, 72, 648, 5832, 52488, 472392, 4251528, 38263752, 344373768]