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 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