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 A295437 #12 Jul 11 2025 03:19:14
%S A295437 1,1021020,6016814703900,41477110789150966020,
%T A295437 304331361887290342345862940,2309513382640863232775760738593520,
%U A295437 17900786683992090777583802478540374204100,140773522690118901080808611014971776285838687000
%N A295437 a(n) = (18*n)!*n!/((9*n)!*(6*n)!*(4*n)!).
%F A295437 G.f.: hypergeom([1/18, 5/18, 7/18, 11/18, 13/18, 17/18], [1/4, 1/3, 1/2, 2/3, 3/4], 8503056*x).
%F A295437 a(n) ~ 2^(4*n - 3/2) * 3^(12*n - 1/2) / sqrt(Pi*n). - _Vaclav Kotesovec_, Jul 11 2025
%t A295437 Array[(18 #)!*#!/((9 #)!*(6 #)!*(4 #)!) &, 8, 0] (* _Michael De Vlieger_, Nov 23 2017 *)
%t A295437 CoefficientList[ Series[ HypergeometricPFQ[{1/18, 5/18, 7/18, 11/18, 13/18, 17/18}, {1/4, 1/3, 1/2, 2/3, 3/4}, 8503056 x], {x, 0, 8}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295437 Cf. A295431.
%K A295437 nonn
%O A295437 0,2
%A A295437 _Gheorghe Coserea_, Nov 23 2017