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 A365132 #9 Aug 23 2023 08:34:17 %S A365132 1,3,21,163,1410,12954,124197,1228269,12438504,128338224,1344328020, %T A365132 14258394921,152820980120,1652596758738,18008899150278, %U A365132 197566103218974,2180167982738235,24183969704272350,269513577777159816,3016075156973165367,33879382051847177781 %N A365132 G.f. satisfies A(x) = (1 + x*A(x)*(1 + x*A(x))^3)^3. %F A365132 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(s*k,n-k). %o A365132 (PARI) a(n, s=3, t=3) = sum(k=0, n, binomial(t*(n+1), k)*binomial(s*k, n-k))/(n+1); %Y A365132 Cf. A364742, A365131. %Y A365132 Cf. A001764. %K A365132 nonn %O A365132 0,2 %A A365132 _Seiichi Manyama_, Aug 23 2023