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 A370696 #6 Feb 27 2024 09:47:59
%S A370696 1,1,2,12,48,240,1800,12600,100800,967680,9676800,106444800,
%T A370696 1297296000,16864848000,236107872000,3552515366400,56840245862400,
%U A370696 966284179660800,17402007419596800,330638140972339200,6612762819446784000,138878156300083200000
%N A370696 Expansion of e.g.f. exp(x^3)/(1-x).
%F A370696 a(n) = n! * Sum_{k=0..floor(n/3)} 1/k!.
%o A370696 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(x^3)/(1-x)))
%o A370696 (PARI) a(n) = n!*sum(k=0, n\3, 1/k!);
%Y A370696 Cf. A000522, A355268.
%Y A370696 Cf. A130906.
%K A370696 nonn,easy
%O A370696 0,3
%A A370696 _Seiichi Manyama_, Feb 27 2024