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 A376159 #10 Sep 13 2024 00:39:00
%S A376159 1,4,17,90,539,3451,23100,159720,1131905,8178326,60019533,446166771,
%T A376159 3352530190,25422458170,194302002463,1495223230621,11575504625874,
%U A376159 90090318248607,704480581789900,5532228951823605,43610427926723780,344972119634359080,2737451123900901555
%N A376159 G.f. satisfies A(x) = 1 / ((1-x)^3 - x*A(x)).
%F A376159 G.f.: 2 / ((1-x)^3 + sqrt((1-x)^6 - 4*x)).
%F A376159 a(n) = Sum_{k=0..n} binomial(n+5*k+2,n-k) * binomial(2*k,k)/(k+1).
%o A376159 (PARI) my(N=30, x='x+O('x^N)); Vec(2/((1-x)^3+sqrt((1-x)^6-4*x)))
%o A376159 (PARI) a(n) = sum(k=0, n, binomial(n+5*k+2, n-k)*binomial(2*k, k)/(k+1));
%Y A376159 Cf. A000108, A006318, A162477.
%Y A376159 Cf. A052529, A366184, A376160.
%Y A376159 Cf. A360100.
%K A376159 nonn,easy
%O A376159 0,2
%A A376159 _Seiichi Manyama_, Sep 12 2024