A112336 - OEIS

%I #3 Mar 30 2012 18:59:12

%S 1,2,2,6,4,4,20,12,8,8,70,40,24,16,16,252,140,80,48,32,32,924,504,280,

%T 160,96,64,64,3432,1848,1008,560,320,192,128,128,12870,6864,3696,2016,

%U 1120,640,384,256,256,48620,25740,13728,7392,4032,2240,1280,768,512,512

%N A number triangle related to the central binomial coefficients.

%C Row sums are A082590. Diagonal sums are A106189.

%F Number triangle T(n, k)=2^k*binomial(2(n-k), n-k); Column k has g.f. (2x)^k/sqrt(1-4x).

%e Triangle begins

%e 1;

%e 2,2;

%e 6,4,4;

%e 20,12,8,8;

%e 70,40,24,16,16;

%K easy,nonn,tabl

%O 0,2

%A _Paul Barry_, Sep 04 2005