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 A365913 #11 Sep 23 2023 07:27:07
%S A365913 1,0,0,0,1,0,0,1,70,0,1,660,34650,1,5434,1351350,63063001,43656,
%T A365913 40694940,6983776801,305540584486,1140183540,550554404401,
%U A365913 77301682251156,3246701716667574,38582808660001,13159690691494570,1627974214800566490,66478153367438069401
%N A365913 Expansion of e.g.f. 1 / ( 1 - Sum_{k>=0} x^(3*k+4) / (3*k+4)! ).
%F A365913 a(0) = 1; a(n) = Sum_{k=0..floor((n-4)/3)} binomial(n,3*k+4) * a(n-3*k-4).
%o A365913 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(1/(1-sum(k=0, N\3, x^(3*k+4)/(3*k+4)!))))
%Y A365913 Cf. A232475, A365914.
%Y A365913 Cf. A365894.
%K A365913 nonn,easy
%O A365913 0,9
%A A365913 _Seiichi Manyama_, Sep 22 2023