A110136 - OEIS

%I #10 Dec 03 2016 12:18:22

%S 1,3,9,31,115,447,1803,7499,32069,140795,633981,2925671,13826405,

%T 66861107,330544409,1669024071,8598951451,45160258503,241540648011,

%U 1314519420803,7273377034547,40886211572271,233344325395327

%N Sums of antidiagonals of number square A110135.

%C Also row sums of A110135, when read as number triangle.

%F a(n) = Sum_{j=0..floor((n-k)/2)} binomial(n-k,j)*binomial(2(n-k-j),n-k)*k^j.

%K easy,nonn

%O 0,2

%A _Paul Barry_, Jul 13 2005