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 A360788 #9 Feb 20 2023 12:27:33 %S A360788 1,1,1,1,3,25,109,324,1135,8803,64189,337854,1707319,13421410, %T A360788 121248893,894378619,6082868725,53046554917,543432115477, %U A360788 4989423130739,42565774604131,421544374075072,4781440892689533,51342685464272591,522295380717090265 %N A360788 Expansion of Sum_{k>=0} x^k / (1 - (k*x)^3)^(k+1). %F A360788 a(n) = Sum_{k=0..floor(n/3)} (n-3*k)^(3*k) * binomial(n-2*k,k). %o A360788 (PARI) my(N=30, x='x+O('x^N)); Vec(sum(k=0, N, x^k/(1-(k*x)^3)^(k+1))) %o A360788 (PARI) a(n) = sum(k=0, n\3, (n-3*k)^(3*k)*binomial(n-2*k, k)); %Y A360788 Cf. A000248, A360787. %Y A360788 Cf. A360783. %K A360788 nonn,easy %O A360788 0,5 %A A360788 _Seiichi Manyama_, Feb 20 2023