%I

%S 1,0,1,2,0,4,4,0,16,0,16,32,0,64,64,0,256,0,256,512,0,1024,1024,0,

%T 4096,0,4096,8192,0,16384,16384,0,65536,0,65536,131072,0,262144,

%U 262144,0,1048576

%N Expansion of (1+x)^2/(1+2x-4x^3-4x^4).

%C Binomial transform is A116404.

%F a(n)=-2a(n-1)+4a(n-3)+4a(n-4)

%K easy,nonn

%O 0,4

%A _Paul Barry_, Feb 07 2006