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 A364591 #10 Jul 29 2023 10:54:05 %S A364591 1,1,1,1,2,5,11,21,40,85,197,457,1028,2289,5193,12069,28338,66445, %T A364591 155563,365701,865815,2061133,4919431,11758741,28165412,67657225, %U A364591 162977081,393445865,951438682,2304494349,5591221729,13588455861,33075115578,80616857525,196742749155 %N A364591 G.f. satisfies A(x) = 1/(1-x) + x^4*A(x)^4. %F A364591 a(n) = Sum_{k=0..floor(n/4)} binomial(n-k,3*k) * binomial(4*k,k) / (3*k+1). %o A364591 (PARI) a(n) = sum(k=0, n\4, binomial(n-k, 3*k)*binomial(4*k, k)/(3*k+1)); %Y A364591 Cf. A346073, A364590. %Y A364591 Cf. A226974, A349289, A364588. %K A364591 nonn,easy %O A364591 0,5 %A A364591 _Seiichi Manyama_, Jul 29 2023