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 A365136 #11 Aug 23 2023 08:34:37 %S A365136 1,3,21,172,1563,15141,153240,1601160,17140686,187026210,2072333697, %T A365136 23255417925,263757940688,3018654757212,34817822871933, %U A365136 404324843585061,4723248984803013,55467143334798210,654435356605769574,7753961433310798095,92220463998917459652 %N A365136 G.f. satisfies A(x) = (1 + x*A(x)/(1 - x*A(x))^3)^3. %F A365136 If g.f. satisfies A(x) = (1 + x*A(x)/(1 - x*A(x))^s)^t, then a(n) = (1/(n+1)) * Sum_{k=0..n} binomial(t*(n+1),k) * binomial(n+(s-1)*k-1,n-k). %o A365136 (PARI) a(n, s=3, t=3) = sum(k=0, n, binomial(t*(n+1), k)*binomial(n+(s-1)*k-1, n-k))/(n+1); %Y A365136 Cf. A161797, A365135. %Y A365136 Cf. A365122. %K A365136 nonn %O A365136 0,2 %A A365136 _Seiichi Manyama_, Aug 23 2023