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 A364624 #7 Jul 30 2023 09:56:51 %S A364624 1,4,22,194,2103,25129,318816,4214724,57419725,800461033,11363418314, %T A364624 163708299724,2387365301187,35173224652637,522752043513952, %U A364624 7827979832083872,117992516684761733,1788819120580964014,27258417705055812586,417270970443908301926 %N A364624 G.f. satisfies A(x) = 1/(1-x)^3 + x*A(x)^4. %F A364624 a(n) = Sum_{k=0..n} binomial(n+8*k+2,9*k+2) * binomial(4*k,k) / (3*k+1). %o A364624 (PARI) a(n) = sum(k=0, n, binomial(n+8*k+2, 9*k+2)*binomial(4*k, k)/(3*k+1)); %Y A364624 Cf. A162481, A364623. %K A364624 nonn %O A364624 0,2 %A A364624 _Seiichi Manyama_, Jul 30 2023