OFFSET
0,8
LINKS
OEIS Wiki, Eulerian polynomials.
FORMULA
G.f. of column k: k*x*A_k(k*x)/((1-x) * (1-k*x)^(k+1)), where A_n(x) are the Eulerian polynomials for k > 0.
EXAMPLE
Square array begins:
1, 0, 0, 0, 0, 0, ...
1, 1, 2, 3, 4, 5, ...
1, 3, 18, 75, 260, 805, ...
1, 6, 90, 804, 5444, 31180, ...
1, 10, 346, 5988, 70980, 671180, ...
1, 15, 1146, 36363, 710980, 10436805, ...
PROG
(PARI) T(n, k) = sum(j=0, n, k^j*j^k);
CROSSREFS
KEYWORD
AUTHOR
Seiichi Manyama, Dec 26 2023
STATUS
approved