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 A379172 #10 Dec 17 2024 10:12:27
%S A379172 1,4,33,358,4445,59745,846023,12430941,187753479,2896929975,
%T A379172 45465112431,723520554096,11647721390271,189352106241567,
%U A379172 3104046096391902,51254005259550753,851674902290491936,14231191062537888864,238978853442142491358,4030889937027642017872
%N A379172 G.f. A(x) satisfies A(x) = (1 + x*A(x)^3)/(1 - x*A(x))^3.
%F A379172 a(n) = Sum_{k=0..n} binomial(n+2*k+1,k) * binomial(4*n+5*k+2,n-k)/(n+2*k+1).
%o A379172 (PARI) a(n) = sum(k=0, n, binomial(n+2*k+1, k)*binomial(4*n+5*k+2, n-k)/(n+2*k+1));
%Y A379172 Cf. A365764, A369215, A379171.
%K A379172 nonn
%O A379172 0,2
%A A379172 _Seiichi Manyama_, Dec 17 2024