A107268 - OEIS

%I #8 Dec 02 2016 22:10:42

%S 1,1,2,5,14,46,173,733,3436,17572,96997,573268,3604687,23990345,

%T 168254444,1238889493,9546211068,76761000444,642524333589,

%U 5586361188966,50351455288661,469653513479395,4526242614854118,45005754238016688

%N Sums of antidiagonals of A107267.

%H Alois P. Heinz, <a href="/A107268/b107268.txt">Table of n, a(n) for n = 0..250</a>

%F 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.

%F 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.

%K easy,nonn

%O 0,3

%A _Paul Barry_, May 15 2005