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 A372136 #7 Apr 20 2024 10:23:27
%S A372136 1,1,6,24,199,1023,9363,53724,514422,3147234,30860724,197222004,
%T A372136 1959430572,12936907792,129445924524,877093068720,8806256385699,
%U A372136 60967636162677,612785441368254,4321431024295452,43413113117835945,311142782601086949,3120889714454477613
%N A372136 G.f. A(x) satisfies A(x) = 1/( 1 - x*A(x)^2*(1 + 9*x*A(x))^(1/3) ).
%F A372136 a(n) = Sum_{k=0..n} 9^(n-k) * binomial(n+2*k,k) * binomial(k/3,n-k)/(n+k+1).
%o A372136 (PARI) a(n) = sum(k=0, n, 9^(n-k)*binomial(n+2*k, k)*binomial(k/3, n-k)/(n+k+1));
%Y A372136 Cf. A372013, A372126.
%K A372136 nonn
%O A372136 0,3
%A A372136 _Seiichi Manyama_, Apr 20 2024