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.

A365914 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+4) / (5*k+4)! ).

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%I A365914 #11 Sep 23 2023 07:27:29
%S A365914 1,0,0,0,1,0,0,0,70,1,0,0,34650,1430,1,0,63063000,5105100,54740,1,
%T A365914 305540235000,40738698000,1134117600,1652090,3246670537110001,
%U A365914 644180662125000,33240837630000,314389754250,66475579247381221350,18359921887357050001
%N A365914 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+4) / (5*k+4)! ).
%F A365914 a(0) = 1; a(n) = Sum_{k=0..floor((n-4)/5)} binomial(n,5*k+4) * a(n-5*k-4).
%o A365914 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\5, x^(5*k+4)/(5*k+4)!))))
%Y A365914 Cf. A232475, A365913.
%Y A365914 Cf. A365895.
%K A365914 nonn,easy
%O A365914 0,9
%A A365914 _Seiichi Manyama_, Sep 22 2023