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 A365974 #10 Sep 24 2023 09:16:13 %S A365974 1,0,0,2,0,0,40,0,5040,2240,0,1663200,246400,479001600,605404800, %T A365974 44844800,699941088000,274450176000,355699625881600,836634972096000, %U A365974 156436600320000,1437392253237248000,1021561084051200000,1124111547465274368000 %N A365974 Expansion of e.g.f. exp( Sum_{k>=0} x^(5*k+3) / (5*k+3) ). %F A365974 a(0) = 1; a(n) = (n-1)! * Sum_{k=0..floor((n-3)/5)} a(n-5*k-3)/(n-5*k-3)!. %o A365974 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\5, x^(5*k+3)/(5*k+3))))) %Y A365974 Cf. A038205, A130915, A365973. %Y A365974 Cf. A365982. %K A365974 nonn %O A365974 0,4 %A A365974 _Seiichi Manyama_, Sep 23 2023