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 A378152 #7 Nov 18 2024 07:33:18
%S A378152 1,0,0,0,1,4,6,4,5,32,112,224,302,488,1564,4872,11034,19664,37128,
%T A378152 95824,266659,635740,1306682,2706524,6503711,16794992,40634744,
%U A378152 90066416,197648134,465436936,1152867388,2790870536,6434526866,14640368240,34415925816,83509570992
%N A378152 G.f. A(x) satisfies A(x) = 1 + (x * (1+x) * A(x))^4.
%F A378152 a(n) = Sum_{k=0..floor(n/4)} binomial(4*k,n-4*k) * binomial(4*k,k)/(3*k+1).
%o A378152 (PARI) a(n) = sum(k=0, n\4, binomial(4*k, n-4*k)*binomial(4*k, k)/(3*k+1));
%Y A378152 Cf. A000045, A256169, A378151.
%K A378152 nonn
%O A378152 0,6
%A A378152 _Seiichi Manyama_, Nov 18 2024