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 A295438 #12 Apr 03 2025 11:34:27
%S A295438 1,42,3978,426075,48141450,5605430292,665398273995,80056334499603,
%T A295438 9727795137150090,1191070745968697880,146715992699777718228,
%U A295438 18161051595569811828018,2257160798030399890529355,281490217405724159448825420,35206768357722972409203943875,4414468429202421653755921429200
%N A295438 a(n) = (9*n)!*(2*n)!/((6*n)!*(4*n)!*n!).
%F A295438 G.f.: hypergeom([1/9, 2/9, 4/9, 5/9, 7/9, 8/9], [1/6, 1/4, 1/2, 3/4, 5/6], 531441/4096*x).
%F A295438 a(n) ~ 3^(12*n + 1/2) / (sqrt(Pi*n) * 2^(12*n + 3/2)). - _Vaclav Kotesovec_, Apr 03 2025
%t A295438 f[n_] := (9n)! (2n)!/((6n)!*(4n)! n!); Array[f, 16, 0] (* or *)
%t A295438 CoefficientList[ Series[ HypergeometricPFQ[{1/9, 2/9, 4/9, 5/9, 7/9, 8/9}, {1/6, 1/4, 1/2, 3/4, 5/6}, 531441/4096 x], {x, 0, 15}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295438 Cf. A295431.
%K A295438 nonn
%O A295438 0,2
%A A295438 _Gheorghe Coserea_, Nov 23 2017