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 A365917 #17 Sep 23 2023 07:26:26 %S A365917 1,0,0,0,0,1,0,0,0,1,252,0,0,1,4004,756756,0,1,65756,69837768, %T A365917 11732745024,1,1047508,5772957036,3957845988096,623360743125121, %U A365917 16781260,475191562560,1078063276530240,587517500395425601,88832646060056769732,38604505286340 %N A365917 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(4*k+5) / (4*k+5)! ). %F A365917 a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/4)} binomial(n,4*k+5) * a(n-4*k-5). %F A365917 E.g.f.: 1 / ( 1 + x - (sinh(x) + sin(x))/2 ). %o A365917 (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(1/(1+x-(sinh(x)+sin(x))/2))) %Y A365917 Cf. A245790, A365915, A365916. %Y A365917 Cf. A352429, A365911. %Y A365917 Cf. A365898. %K A365917 nonn,easy %O A365917 0,11 %A A365917 _Seiichi Manyama_, Sep 23 2023