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 A379188 #11 Dec 18 2024 09:28:01 %S A379188 1,4,34,392,5271,77530,1208602,19620262,328167191,5616065633, %T A379188 97867738285,1730732539345,30981439344096,560293394484145, %U A379188 10221582080782452,187884236846039893,3476266045318846245,64690833375603622619,1210026171180264742927,22736845507710710652858 %N A379188 G.f. A(x) satisfies A(x) = 1/((1 - x*A(x)^3) * (1 - x*A(x))^3). %F A379188 a(n) = Sum_{k=0..n} binomial(n+3*k+1,k) * binomial(4*n+5*k+2,n-k)/(n+3*k+1). %o A379188 (PARI) a(n) = sum(k=0, n, binomial(n+3*k+1, k)*binomial(4*n+5*k+2, n-k)/(n+3*k+1)); %Y A379188 Cf. A118971, A369617, A379187. %Y A379188 Cf. A379172, A379190, A379191. %Y A379188 Cf. A379186, A379189. %K A379188 nonn %O A379188 0,2 %A A379188 _Seiichi Manyama_, Dec 17 2024