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 A364763 #9 Aug 06 2023 11:03:46 %S A364763 1,-1,-4,4,51,-6,-770,-694,12363,25583,-198824,-701944,3049603, %T A364763 17238467,-41348631,-396817391,391720363,8689985437,1902247845, %U A364763 -181526287908,-253530149234,3597968506523,9727546141524,-66671292054788,-291760189535999,1116731578365699 %N A364763 G.f. satisfies A(x) = 1 / (1 + x*(1 + x*A(x))^5). %F A364763 a(n) = (1/(n+1)) * Sum_{k=0..n} (-1)^k * binomial(n+1,k) * binomial(5*k,n-k). %o A364763 (PARI) a(n) = sum(k=0, n, (-1)^k*binomial(n+1, k)*binomial(5*k, n-k))/(n+1); %Y A364763 Cf. A007440, A364760, A364761, A364762. %Y A364763 Cf. A364744. %K A364763 sign %O A364763 0,3 %A A364763 _Seiichi Manyama_, Aug 05 2023