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 A295441 #12 Jul 11 2025 05:19:19
%S A295441 1,252,204204,191222460,190004674860,195022529167752,
%T A295441 204320742803699340,217111359982448115765,233102038867603938770220,
%U A295441 252255185100017685406870560,274687728872310943504451521704,300625891932698784845526074953032,330384570746416514397560106035996940
%N A295441 a(n) = (9*n)!*n!/((5*n)!*(3*n)!*(2*n)!).
%F A295441 G.f.: hypergeom([1/9, 2/9, 4/9, 5/9, 7/9, 8/9], [1/5, 2/5, 1/2, 3/5, 4/5], 14348907/12500*x).
%F A295441 a(n) ~ 3^(15*n + 1/2) / (2^(2*n+1) * 5^(5*n + 1/2) * sqrt(Pi*n)). - _Vaclav Kotesovec_, Jul 11 2025
%t A295441 f[n_] := (9n)! n!/((5n)! (3n)! (2n)!); Array[f, 13, 0] (* or *) CoefficientList[ Series[ HypergeometricPFQ[{1/9, 2/9, 4/9, 5/9, 7/9, 8/9}, {1/5, 2/5, 1/2, 3/5, 4/5}, 14348907/12500 x], {x, 0, 12}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295441 Cf. A295431.
%K A295441 nonn
%O A295441 0,2
%A A295441 _Gheorghe Coserea_, Nov 23 2017