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 A376546 #7 Sep 27 2024 16:33:48
%S A376546 1,0,0,0,1,1,0,0,4,8,4,0,22,66,66,22,140,560,840,560,1109,4845,9690,
%T A376546 9690,11929,43473,106260,141680,160080,419244,1137304,1883700,2304432,
%U A376546 4496076,12157236,23614812,32813500,53821332,132821856,285795696,451409380
%N A376546 G.f. A(x) satisfies A(x) = 1 + x^4*(1+x)*A(x)^4.
%F A376546 a(n) = Sum_{k=0..floor(n/4)} binomial(k,n-4*k) * binomial(4*k,k)/(3*k+1).
%o A376546 (PARI) a(n) = sum(k=0, n\4, binomial(k, n-4*k)*binomial(4*k, k)/(3*k+1));
%Y A376546 Cf. A017827, A366589, A375691, A376487.
%K A376546 nonn
%O A376546 0,9
%A A376546 _Seiichi Manyama_, Sep 27 2024