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 A364627 #8 Jul 30 2023 09:56:32 %S A364627 1,3,7,22,97,469,2339,12148,65295,358979,2006977,11380702,65311575, %T A364627 378574425,2213092750,13032826536,77244242937,460413902079, %U A364627 2758088752351,16596379614234,100269075879881,607996092039949,3698873710967989,22570809986322440 %N A364627 G.f. satisfies A(x) = 1/(1-x)^3 + x^2*A(x)^4. %F A364627 a(n) = Sum_{k=0..floor(n/2)} binomial(n+7*k+2,9*k+2) * binomial(4*k,k) / (3*k+1). %o A364627 (PARI) a(n) = sum(k=0, n\2, binomial(n+7*k+2, 9*k+2)*binomial(4*k, k)/(3*k+1)); %Y A364627 Cf. A364625, A364626. %Y A364627 Cf. A364622. %K A364627 nonn %O A364627 0,2 %A A364627 _Seiichi Manyama_, Jul 30 2023