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 A360833 #11 Feb 23 2023 07:37:00
%S A360833 1,1,4,27,257,3189,48843,889080,18731109,448004763,11987812504,
%T A360833 354763577414,11503684020051,405589341060930,15447798292502206,
%U A360833 632069580794524857,27649951709582591394,1287748889361331630661,63616184683123273364961
%N A360833 Expansion of Sum_{k>=0} ( k * x / (1 - (k * x)^3) )^k.
%F A360833 a(n) = Sum_{k=0..floor(n/3)} (n-3*k)^n * binomial(n-2*k-1,k).
%o A360833 (PARI) my(N=20, x='x+O('x^N)); Vec(sum(k=0, N, (k*x/(1-(k*x)^3))^k))
%o A360833 (PARI) a(n) = sum(k=0, n\3, (n-3*k)^n*binomial(n-2*k-1, k));
%Y A360833 Cf. A195242, A360832.
%Y A360833 Cf. A338661, A360811, A360835.
%K A360833 nonn
%O A360833 0,3
%A A360833 _Seiichi Manyama_, Feb 22 2023