OFFSET
0,5
LINKS
Peter Luschny, Extensions of the binomial
FORMULA
T(n, k) = S2(n+1, k+1) - S2(n, k+1).
EXAMPLE
1,
0, 1,
0, 2, 1,
0, 4, 5, 1,
0, 8, 19, 9, 1,
0, 16, 65, 55, 14, 1,
0, 32, 211, 285, 125, 20, 1,
0, 64, 665, 1351, 910, 245, 27, 1.
MAPLE
MATHEMATICA
Flatten[ Table[ Sum[(-1)^(n-j) Binomial[-j, -n] StirlingS2[j, k], {j, 0, n}], {n, 0, 9}, {k, 0, n}]]
CROSSREFS
Variant: A143494 (the main entry for this triangle).
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Apr 10 2016
STATUS
approved