OFFSET
1,4
LINKS
William Linz, s-Catalan numbers and Littlewood-Richardson polynomials, arXiv:2110.12095 [math.CO], 2021. See p. 3.
FORMULA
EXAMPLE
The array begins:
n\k | 1 2 3 4 5 6
----+---------------------------
1 | 1 1 1 1 1 1 ...
2 | 0 1 0 1 0 1 ...
3 | 2 3 4 5 6 7 ...
4 | 0 6 0 16 0 31 ...
5 | 5 15 34 65 111 175 ...
6 | 0 36 0 260 0 981 ...
...
MATHEMATICA
T[n_, k_, s_]:=If[k==0, 1, Coefficient[(Sum[x^i, {i, 0, s}])^n, x^k]]; A[n_, k_]:=T[n, k(n+1)/2, k]-T[n, k(n+1)/2+1, k]; Flatten[Table[A[n-k+1, k], {n, 12}, {k, n}]]
CROSSREFS
KEYWORD
AUTHOR
Stefano Spezia, Dec 06 2021
STATUS
approved