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 A360819 #11 Feb 22 2023 10:19:35
%S A360819 1,0,0,1,1,1,65,257,769,21732,182268,1075171,22120299,292415838,
%T A360819 2784944366,52394511682,914813711338,12411977351379,240868108545883,
%U A360819 5024364548461861,88977315031536205,1888119425325238979,44744897995532996819,971263427084750362992
%N A360819 Expansion of Sum_{k>=0} ( (k*x)^3 / (1 - k*x) )^k.
%F A360819 a(n) = Sum_{k=0..floor(n/3)} k^n * binomial(n-2*k-1,n-3*k).
%o A360819 (PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=0, N, ((k*x)^3/(1-k*x))^k))
%o A360819 (PARI) a(n) = sum(k=0, n\3, k^n*binomial(n-2*k-1, n-3*k));
%Y A360819 Cf. A195242, A360818.
%Y A360819 Cf. A360709.
%K A360819 nonn
%O A360819 0,7
%A A360819 _Seiichi Manyama_, Feb 21 2023