OFFSET
0,5
FORMULA
T(n,k)= sum( (-1)^(j+k)*(j+k)*C(n-k+j,j), j=0..k).
EXAMPLE
Triangle starts:
0;
0, 1;
0, 3, 3;
0, 5, 8, 2;
0, 7, 17, 14, 6;
0, 9, 30, 39, 24, 3;
...
PROG
(PARI) T(n, k)= sum(j=0, k, (-1)^(j+k)*(j+k)*binomial(n-k+j, j)); \\ Michel Marcus, Jun 04 2014
CROSSREFS
KEYWORD
AUTHOR
Olivier Gérard, Jul 26 2011
STATUS
approved