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 A367115 #9 Nov 05 2023 09:01:16 %S A367115 1,2,4,8,18,52,184,688,2512,8864,30784,107648,384432,1403872,5205568, %T A367115 19443328,72817856,273199488,1027939072,3883718144,14741042464, %U A367115 56189409088,214931447680,824443822848,3169934397184,12214858010112,47168251137024 %N A367115 G.f. satisfies A(x) = 1 + 2*x*A(x) + 2*x^4*A(x)^4. %F A367115 a(n) = Sum_{k=0..floor(n/4)} 2^(n-3*k) * binomial(n,4*k) * A002293(k). %o A367115 (PARI) a(n) = sum(k=0, n\4, 2^(n-3*k)*binomial(n, 4*k)*binomial(4*k, k)/(3*k+1)); %Y A367115 Cf. A002293, A127902, A190590, A367114. %Y A367115 Cf. A071356, A367113. %K A367115 nonn,easy %O A367115 0,2 %A A367115 _Seiichi Manyama_, Nov 05 2023