Compositions

[mschauer]

We are missing https://en.wikipedia.org/wiki/Composition_(combinatorics)
I think equivalent to unique(permutations(partitions(n))

For the compositions with bounded terms the total number is given by Fibonacci sequences: https://math.stackexchange.com/questions/3055314/number-of-compositions-of-n-such-that-each-term-is-less-than-equal-to-k