A107268 Sums of antidiagonals of A107267.

1, 1, 2, 5, 14, 46, 173, 733, 3436, 17572, 96997, 573268, 3604687, 23990345, 168254444, 1238889493, 9546211068, 76761000444, 642524333589, 5586361188966, 50351455288661, 469653513479395, 4526242614854118, 45005754238016688

Offset

0,3

Links

Alois P. Heinz, Table of n, a(n) for n = 0..250

Formula

a(n) = Sum_{k=0..n} Sum_{j=0..n-k} 1/(j+1) C(j+1,n-k-j+1) C(n-k,j) k^j.

a(n) = Sum_{k=0..n} Sum_{j=0..k} 1/(j+1) C(j+1,k-j+1) C(k,j) (n-k)^j.

Crossrefs

Sequence in context: A001680 A275424 A328429 * A231211 A006216 A148337

Adjacent sequences: A107265 A107266 A107267 * A107269 A107270 A107271

Keyword

easy,nonn

Author

Paul Barry, May 15 2005

Status

approved