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 A295439 #10 Jul 11 2025 05:18:27
%S A295439 1,18,714,32175,1531530,75167268,3762157035,190878381495,
%T A295439 9781950631050,505159120481400,26246321470970964,1370400311694822954,
%U A295439 71844872838316074315,3779480916094795749180,199405648908172208299875,10547211550872819183622800,559103542410000371874708618
%N A295439 a(n) = (9*n)!*(4*n)!/((8*n)!*(3*n)!*(2*n)!).
%F A295439 G.f.: hypergeom([1/9, 2/9, 4/9, 5/9, 7/9, 8/9], [1/8, 3/8, 1/2, 5/8, 7/8], 14348907/262144*x).
%F A295439 a(n) ~ 3^(15*n + 1/2) / (2^(18*n + 3/2) * sqrt(Pi*n)). - _Vaclav Kotesovec_, Jul 11 2025
%t A295439 f[n_] := (9 n)! (4 n)!/((8 n)!*(3 n)! (2 n)!); Array[f, 17, 0] (* or *)CoefficientList[ Series[ HypergeometricPFQ[{1/9, 2/9, 4/9, 5/9, 7/9, 8/9}, {1/8, 3/8, 1/2, 5/8, 7/8}, 14348907/262144 x], {x, 0, 16}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295439 Cf. A295431.
%K A295439 nonn
%O A295439 0,2
%A A295439 _Gheorghe Coserea_, Nov 23 2017