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.

A365897 Expansion of e.g.f. exp( Sum_{k>=0} x^(3*k+5) / (3*k+5)! ).

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%I A365897 #13 Sep 23 2023 07:25:48
%S A365897 1,0,0,0,0,1,0,0,1,0,126,1,0,1287,1,126126,10803,1,5513508,87210,
%T A365897 488864377,175388031,698820,61841343565,5037240879,5194678451481,
%U A365897 5281277511511,139251621015,1519441856106345,387880753064806,123382468421090541
%N A365897 Expansion of e.g.f. exp( Sum_{k>=0} x^(3*k+5) / (3*k+5)! ).
%H A365897 Seiichi Manyama, <a href="/A365897/b365897.txt">Table of n, a(n) for n = 0..605</a>
%F A365897 a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/3)} binomial(n-1,3*k+4) * a(n-3*k-5).
%o A365897 (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\3, x^(3*k+5)/(3*k+5)!))))
%Y A365897 Cf. A057814, A365896, A365898.
%K A365897 nonn
%O A365897 0,11
%A A365897 _Seiichi Manyama_, Sep 22 2023