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 A365088 #11 Aug 21 2023 08:23:11 %S A365088 1,1,-4,1,46,-129,-405,3319,-1617,-59258,199541,642170,-6038395, %T A365088 3886091,119884973,-440626784,-1367688245,14055527190,-11043763380, %U A365088 -290488387366,1137260033731,3336325340735,-36966844508130,34098313310315,776097820004580 %N A365088 G.f. satisfies A(x) = 1 + x*A(x) / (1 + x*A(x))^5. %F A365088 a(n) = Sum_{k=0..n} (-1)^(n-k) * binomial(n,k) * binomial(n+4*k-1,n-k) / (n-k+1). %o A365088 (PARI) a(n) = sum(k=0, n, (-1)^(n-k)*binomial(n, k)*binomial(n+4*k-1, n-k)/(n-k+1)); %Y A365088 Cf. A090192, A365085, A365086, A365087. %Y A365088 Cf. A321799, A364738, A365084. %K A365088 sign %O A365088 0,3 %A A365088 _Seiichi Manyama_, Aug 21 2023