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 A379246 #7 Dec 19 2024 10:10:26
%S A379246 1,6,90,1838,43362,1111878,30101786,846703950,24501770370,
%T A379246 724733787206,21813611057562,665947742487342,20571682188676450,
%U A379246 641823879285627654,20195381326042866138,640146274715559742670,20421757641058980395010,655181707585675667750790,21125606434257067959841242
%N A379246 G.f. A(x) satisfies A(x) = ( (1 + x*A(x)^3)/(1 - x*A(x)) )^3.
%F A379246 G.f.: B(x)^3 where B(x) is the g.f. of A379247.
%F A379246 a(n) = Sum_{k=0..n} binomial(3*n+6*k+3,k) * binomial(4*n+5*k+2,n-k)/(n+2*k+1).
%o A379246 (PARI) a(n) = sum(k=0, n, binomial(3*n+6*k+3, k)*binomial(4*n+5*k+2, n-k)/(n+2*k+1));
%Y A379246 Cf. A365843, A379245.
%Y A379246 Cf. A379172, A379247.
%K A379246 nonn
%O A379246 0,2
%A A379246 _Seiichi Manyama_, Dec 18 2024