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 A365180 #9 Aug 25 2023 09:43:22 %S A365180 1,1,5,31,223,1740,14328,122549,1078197,9695359,88710199,823247686, %T A365180 7730244098,73310150097,701163085849,6755544043969,65506554804129, %U A365180 638794412442172,6260571309256152,61632794482411367,609197871548209907,6043456939539775056 %N A365180 G.f. satisfies A(x) = 1 + x*A(x)^4*(1 + x*A(x)). %F A365180 a(n) = Sum_{k=0..n} binomial(n+3*k+1,k) * binomial(k,n-k)/(n+3*k+1). %o A365180 (PARI) a(n) = sum(k=0, n, binomial(n+3*k+1, k)*binomial(k, n-k)/(n+3*k+1)); %Y A365180 Cf. A002294, A365178, A365181, A365182, A365183. %Y A365180 Cf. A364747. %K A365180 nonn %O A365180 0,3 %A A365180 _Seiichi Manyama_, Aug 25 2023