OFFSET
0,7
EXAMPLE
Triangle starts:
[0] 1;
[1] 0, 0;
[2] 1, 0, 1;
[3] 2, 0, 0, 2;
[4] 9, 0, 6, 0, 9;
[5] 44, 0, 20, 20, 0, 44;
[6] 265, 0, 135, 80, 135, 0, 265;
[7] 1854, 0, 924, 630, 630, 924, 0, 1854;
[8] 14833, 0, 7420, 4928, 5670, 4928, 7420, 0, 14833;
[9] 133496, 0, 66744, 44520, 49896, 49896, 44520, 66744, 0, 133496.
MAPLE
sf := n -> add((-1)^(n-j)*pochhammer(n-j+1, j), j=0..n):
T := (n, k) -> binomial(n, k)*sf(n-k)*sf(k):
seq(seq(T(n, k), k=0..n), n=0..9);
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Sep 05 2020
STATUS
approved