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 A370699 #6 Feb 27 2024 09:48:09
%S A370699 1,1,2,5,20,100,610,4270,34160,307160,3071600,33787600,405466600,
%T A370699 5271065800,73794921200,1106922416600,17710758665600,301082897315200,
%U A370699 5419492342264000,102970354503016000,2059407090060320000,43247548855054544000,951446074811199968000
%N A370699 Expansion of e.g.f. exp(-x^3/6)/(1-x).
%F A370699 a(n) = n! * Sum_{k=0..floor(n/3)} (-1)^k/(6^k * k!).
%o A370699 (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(-x^3/6)/(1-x)))
%o A370699 (PARI) a(n) = n!*sum(k=0, n\3, (-1)^k/(6^k*k!));
%Y A370699 Cf. A000166, A000266.
%K A370699 nonn,easy
%O A370699 0,3
%A A370699 _Seiichi Manyama_, Feb 27 2024