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 A379139 #9 Dec 16 2024 01:52:44
%S A379139 1,6,33,185,1065,6276,37711,230277,1425180,8920915,56382321,359325561,
%T A379139 2306603557,14900834070,96801107625,631995206707,4144614844047,
%U A379139 27289670546697,180339237891360,1195684324845420,7951560286540908,53025939926690233,354509890878236583
%N A379139 G.f. A(x) satisfies A(x) = ( (1 + x*A(x)^(1/3)) * (1 + x*A(x)^(2/3)) )^3.
%F A379139 G.f.: A(x) = B(x)^3 where B(x) is the g.f. of A007863.
%F A379139 a(n) = 3 * Sum_{k=0..n} binomial(n+k+3,k) * binomial(n+k+3,n-k)/(n+k+3).
%o A379139 (PARI) a(n) = 3*sum(k=0, n, binomial(n+k+3, k)*binomial(n+k+3, n-k)/(n+k+3));
%Y A379139 Cf. A003517, A007863.
%K A379139 nonn
%O A379139 0,2
%A A379139 _Seiichi Manyama_, Dec 15 2024