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 A379190 #10 Dec 18 2024 09:26:07
%S A379190 1,4,30,304,3557,45150,604222,8393282,119872890,1749183075,
%T A379190 25964512607,390828464403,5951561595889,91523131078999,
%U A379190 1419293428538496,22169968253466467,348507676062911520,5509187208564734328,87522347516801353980,1396619714730284551913,22375420057050167868366
%N A379190 G.f. A(x) satisfies A(x) = (1 + x*A(x)^3) * (1 + x*A(x))^3.
%F A379190 a(n) = Sum_{k=0..n} binomial(n+2*k+1,k) * binomial(3*n+6*k+3,n-k)/(n+2*k+1).
%o A379190 (PARI) a(n) = sum(k=0, n, binomial(n+2*k+1, k)*binomial(3*n+6*k+3, n-k)/(n+2*k+1));
%Y A379190 Cf. A379172, A379188, A379191.
%Y A379190 Cf. A002293, A274735, A364475.
%Y A379190 Cf. A198953.
%K A379190 nonn
%O A379190 0,2
%A A379190 _Seiichi Manyama_, Dec 17 2024