cp's OEIS Frontend

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.

A365974 Expansion of e.g.f. exp( Sum_{k>=0} x^(5*k+3) / (5*k+3) ).

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%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