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 A295442 #10 Jul 11 2025 05:19:43
%S A295442 1,4862,65132550,987291797996,15789207515217990,260227401685879140612,
%T A295442 4372592850984736084611996,74468439316740019538310543000,
%U A295442 1280895791499708481382281179968070,22200471460266930185258813786107130900,387105235604016899402464538876438270501300
%N A295442 a(n) = (18*n)!*(5*n)!*(3*n)!/((10*n)!*(9*n)!*(6*n)!*n!).
%F A295442 G.f.: hypergeom([1/18, 5/18, 7/18, 11/18, 13/18, 17/18], [1/10, 3/10, 1/2, 7/10, 9/10], 57395628/3125*x).
%F A295442 a(n) ~ 2^(2*n-1) * 3^(15*n) / (5^(5*n) * sqrt(Pi*n)). - _Vaclav Kotesovec_, Jul 11 2025
%t A295442 f[n_] := (18n)! (5n)! (3n)!/((10n)! (9n)! (6n)! n!); Array[f, 11, 0] (* or *)CoefficientList[ Series[ HypergeometricPFQ[{1/18, 5/18, 7/18, 11/18, 13/18, 17/18}, {1/10, 3/10, 1/2, 7/10, 9/10}, 57395628/3125 x], {x, 0, 10}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295442 Cf. A295431.
%K A295442 nonn
%O A295442 0,2
%A A295442 _Gheorghe Coserea_, Nov 23 2017