OFFSET
0,5
EXAMPLE
Triangle starts:
[1]
[1, 1]
[1, 2, 3]
[1, 3, 6, 16]
[1, 4, 10, 30, 115]
[1, 5, 15, 50, 205, 1021]
[1, 6, 21, 77, 336, 1750, 10696]
[1, 7, 28, 112, 518, 2814, 17766, 128472]
MAPLE
T := (n, k) -> add(abs(Stirling1(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] Abs[StirlingS1[k, j]], {j, 0, n}], {n, 0, 9}, {k, 0, n}]]
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Peter Luschny, Apr 14 2016
STATUS
approved