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%I #4 Mar 30 2012 18:59:07
%S 1,2,8,24,86,300,1096,4032,15062,56684,214880,818800,3133916,12038200,
%T 46384432,179193920,693849254,2691994060,10462833808,40729251920,
%U 158772196436,619716378280,2421643356592,9472863484160,37090890396284
%N Expansion of 1/((1-2x^2)sqrt(1-4x)).
%C Diagonal sums of A112336. - _Paul Barry_, Sep 04 2005
%F a(n)=sum{k=0..floor(n/2), binomial(2(n-2k), n-2k)*2^k}.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Apr 24 2005