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 A365154 #10 Aug 24 2023 07:48:19 %S A365154 1,3,24,241,2739,33513,430777,5736027,78428376,1094690208,15533884197, %T A365154 223429310925,3250094373788,47730565667898,706726767511254, %U A365154 10538728632234471,158132963455869912,2385819265581499593,36171764848848749205,550803320282727312804 %N A365154 G.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x)) )^3. %F A365154 If g.f. satisfies A(x) = ( 1 + x*A(x)^2*(1 + x*A(x))^s )^t, then a(n) = Sum_{k=0..n} binomial(t*(n+k+1),k) * binomial(s*k,n-k)/(n+k+1). %o A365154 (PARI) a(n, s=1, t=3) = sum(k=0, n, binomial(t*(n+k+1), k)*binomial(s*k, n-k)/(n+k+1)); %Y A365154 Cf. A001002, A365153. %K A365154 nonn %O A365154 0,2 %A A365154 _Seiichi Manyama_, Aug 23 2023