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 A372105 #5 Apr 19 2024 10:30:49
%S A372105 1,3,30,372,5187,77682,1220421,19842492,331047138,5635390827,
%T A372105 97491744102,1709067567387,30293505154362,542010120629052,
%U A372105 9775907758416999,177556754470826046,3244682279388126576,59614554914471797482,1100573677912355195313
%N A372105 G.f. A(x) satisfies A(x) = 1/( 1 - 9*x*A(x)/(1-x) )^(1/3).
%F A372105 a(n) = Sum_{k=0..n} 9^k * binomial(4*k/3-2/3,k) * binomial(n-1,n-k)/(k+1).
%o A372105 (PARI) a(n) = sum(k=0, n, 9^k*binomial(4*k/3-2/3, k)*binomial(n-1, n-k)/(k+1));
%Y A372105 Cf. A361375, A372087.
%K A372105 nonn
%O A372105 0,2
%A A372105 _Seiichi Manyama_, Apr 18 2024