OFFSET
0,5
FORMULA
T(n,k) = Sum_{j=0..k} C(n,j) * S2(k,j). - Alois P. Heinz, Sep 03 2019
EXAMPLE
Triangle starts:
[1]
[1, 1]
[1, 2, 3]
[1, 3, 6, 13]
[1, 4, 10, 26, 71]
[1, 5, 15, 45, 140, 456]
[1, 6, 21, 71, 246, 887, 3337]
[1, 7, 28, 105, 399, 1568, 6405, 27203]
MAPLE
T := (n, k) -> add(Stirling2(k, j)*binomial(-j-1, -n-1)*(-1)^(n-j), j=0..n):
seq(seq(T(n, k), k=0..n), n=0..9);
MATHEMATICA
Flatten[Table[Sum[(-1)^(n-j) Binomial[-j-1, -n-1] StirlingS2[k, j], {j, 0, n}], {n, 0, 9}, {k, 0, n}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Apr 14 2016
STATUS
approved