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 A379256 #6 Dec 19 2024 10:10:12 %S A379256 1,2,20,296,5168,98896,2006592,42403584,923292672,20570204672, %T A379256 466681402112,10744734700032,250415336695808,5896251565619200, %U A379256 140051037257007104,3351752341884928000,80744484314316193792,1956433860220223062016,47647871136991576260608 %N A379256 G.f. A(x) satisfies A(x) = 1 + x * A(x)^3 * (1 + A(x)^4). %F A379256 a(n) = Sum_{k=0..n} binomial(n,k) * binomial(3*n+4*k+1,n)/(3*n+4*k+1). %o A379256 (PARI) a(n) = sum(k=0, n, binomial(n, k)*binomial(3*n+4*k+1, n)/(3*n+4*k+1)); %Y A379256 Cf. A379257. %K A379256 nonn %O A379256 0,2 %A A379256 _Seiichi Manyama_, Dec 19 2024