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
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.