OFFSET
0,6
EXAMPLE
Triangle T(n, k) starts:
[0] 1;
[1] 0;
[2] 0, 1;
[3] 0, 2;
[4] 0, 3, 2;
[5] 0, 4, 18;
[6] 0, 5, 84, 6;
[7] 0, 6, 300, 144;
[8] 0, 7, 930, 1500, 24;
[9] 0, 8, 2646, 10800, 1200;
MAPLE
fallingFactorial := (x, n) -> (-1)^n * pochhammer(-x, n):
T := (n, k) -> fallingFactorial(n - k, k) * Stirling2(n - k, k):
seq(seq(T(n, k), k = 0..iquo(n, 2)), n = 0..12);
PROG
CROSSREFS
KEYWORD
nonn,tabf
AUTHOR
Peter Luschny, May 04 2023
STATUS
approved