OFFSET
0,3
COMMENTS
EXAMPLE
Triangle T(n, k) starts:
[0] 1;
[1] 0, 2;
[2] 0, 4, 3;
[3] 0, 12, 18, 4;
[4] 0, 48, 108, 48, 5;
[5] 0, 240, 720, 480, 100, 6;
[6] 0, 1440, 5400, 4800, 1500, 180, 7;
[7] 0, 10080, 45360, 50400, 21000, 3780, 294, 8;
[8] 0, 80640, 423360, 564480, 294000, 70560, 8232, 448, 9;
MAPLE
T := (n, k) -> (-1)^(n - k)*(k + 1)*binomial(n, k)*pochhammer(1 - n, n - k):
seq(seq(T(n, k), k = 0..n), n = 0..9);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Feb 08 2023
STATUS
approved