This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A119332 #7 Jul 21 2024 15:18:41
%S A119332 1,1,0,0,2,2,0,0,4,4,0,0,8,8,0,0,16,16,0,0,32,32,0,0,64,64,0,0,128,
%T A119332 128,0,0,256,256,0,0,512,512,0,0,1024,1024,0,0,2048,2048,0,0,4096,
%U A119332 4096,0,0,8192,8192,0,0,16384,16384,0,0,32768
%N A119332 Expansion of (1+x)/(1-2x^4).
%C A119332 Row sums of A119331. Binomial transform is A119330.
%H A119332 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,2).
%F A119332 a(n)=sum{k=0..n, sum{i=0..n, (-1)^(n-i)*C(n,i)*sum{j=0..i-k, C(k,2j)*C(i-k,2j)*2^j}}}.
%t A119332 CoefficientList[Series[(1+x)/(1-2x^4),{x,0,90}],x] (* or *) LinearRecurrence[{0,0,0,2},{1,1,0,0},90] (* _Harvey P. Dale_, Jul 21 2024 *)
%K A119332 easy,nonn
%O A119332 0,5
%A A119332 _Paul Barry_, May 14 2006