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 A365982 #12 Sep 24 2023 09:16:42 %S A365982 1,0,0,2,0,0,80,0,5040,13440,0,3326400,5913600,479001600,3632428800, %T A365982 5381376000,1399882176000,6586804224000,364469833728000, %U A365982 5019809832576000,18772392038400000,2898136435138560000,24517466017228800000,1203790902897623040000 %N A365982 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+3) / (5*k+3) ). %F A365982 a(0) = 1; a(n) = Sum_{k=0..floor((n-3)/5)} (5*k+2)! * binomial(n,5*k+3) * a(n-5*k-3). %o A365982 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\5, x^(5*k+3)/(5*k+3))))) %Y A365982 Cf. A355284, A365980, A365981. %Y A365982 Cf. A365912, A365974. %K A365982 nonn %O A365982 0,4 %A A365982 _Seiichi Manyama_, Sep 24 2023