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.

A365979 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+2) / (5*k+2) ).

This page as a plain text file.
%I A365979 #9 Sep 24 2023 09:16:30
%S A365979 1,0,1,0,6,0,90,720,2520,51840,113400,4276800,47401200,444787200,
%T A365979 9725086800,58378320000,2029897584000,30450131712000,475261239024000,
%U A365979 11952610750080000,127796530736160000,4683810971473920000,90707397988727520000,1964217505623310080000
%N A365979 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+2) / (5*k+2) ).
%F A365979 a(0) = 1; a(n) = Sum_{k=0..floor((n-2)/5)} (5*k+1)! * binomial(n,5*k+2) * a(n-5*k-2).
%o A365979 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\5, x^(5*k+2)/(5*k+2)))))
%Y A365979 Cf. A226226, A365978.
%Y A365979 Cf. A365909.
%K A365979 nonn
%O A365979 0,5
%A A365979 _Seiichi Manyama_, Sep 23 2023