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 A365909 #10 Sep 23 2023 07:28:06
%S A365909 1,0,1,0,6,0,90,1,2520,72,113400,5940,7484401,617760,681084014,
%T A365909 81081000,81730916280,13232419201,12505020896160,2639867731518,
%U A365909 2376002176470000,633568693965570,548870403972290401,180329793856173720,151492831528555510516
%N A365909 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(5*k+2) / (5*k+2)! ).
%F A365909 a(0) = 1; a(n) = Sum_{k=0..floor((n-2)/5)} binomial(n,5*k+2) * a(n-5*k-2).
%o A365909 (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 A365909 Cf. A032032, A365908.
%Y A365909 Cf. A365419.
%K A365909 nonn,easy
%O A365909 0,5
%A A365909 _Seiichi Manyama_, Sep 22 2023