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 A295443 #10 Jul 11 2025 05:20:10
%S A295443 1,884,1887900,4549731788,11560065522460,30261639292482384,
%T A295443 80752826621895569988,218391531192704847549000,
%U A295443 596486567319455105649942300,1641564850552143323096960793200,4544894671462411776709731603900400,12644660098250754851503216626543200748
%N A295443 a(n) = (18*n)!*(4*n)!/((12*n)!*(9*n)!*n!).
%F A295443 G.f.: hypergeom([1/18, 5/18, 7/18, 1/2, 11/18, 13/18, 17/18], [1/12, 1/3, 5/12, 7/12, 2/3, 11/12], 2916*x).
%F A295443 a(n) ~ 2^(2*n) * 3^(6*n - 1/2) / sqrt(Pi*n). - _Vaclav Kotesovec_, Jul 11 2025
%t A295443 f[n_] := (18n)! (4n)!/((12n)! (9n)! n!); Array[f, 12, 0] (* or *)CoefficientList[ Series[ HypergeometricPFQ[{1/18, 5/18, 7/18, 1/2, 11/18, 13/18, 17/18}, {1/12, 1/3, 5/12, 7/12, 2/3, 11/12}, 2916 x], {x, 0, 11}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295443 Cf. A295431.
%K A295443 nonn
%O A295443 0,2
%A A295443 _Gheorghe Coserea_, Nov 23 2017