cp's OEIS Frontend

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.

A295436 a(n) = (12*n)!*(5*n)!/((10*n)!*(4*n)!*(3*n)!).

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%I A295436 #12 Jul 11 2025 05:17:45
%S A295436 1,110,31878,10550540,3693446214,1333894333860,491399166995100,
%T A295436 183538361769733080,69248533171932254790,26330347618877971057844,
%U A295436 10073025233727857639656628,3872722823191369534267881000,1495040784249187268901385878300,579143282269456580741926257778920
%N A295436 a(n) = (12*n)!*(5*n)!/((10*n)!*(4*n)!*(3*n)!).
%F A295436 G.f.: hypergeom([1/12, 1/6, 5/12, 7/12, 5/6, 11/12], [1/10, 3/10, 1/2, 7/10, 9/10], 1259712/3125*x).
%F A295436 a(n) ~ 2^(6*n-1) * 3^(9*n) / (5^(5*n) * sqrt(Pi*n)). - _Vaclav Kotesovec_, Jul 11 2025
%t A295436 Array[(12#)!(5#)!/((10#)!(4#)!(3#)!) &, 14, 0] (* _Michael De Vlieger_, Nov 23 2017 *)
%t A295436 CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/6, 5/12, 7/12, 5/6, 11/12}, {1/10, 3/10, 1/2, 7/10, 9/10}, 1259712/3125 x], {x, 0, 13}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295436 Cf. A295431.
%K A295436 nonn
%O A295436 0,2
%A A295436 _Gheorghe Coserea_, Nov 23 2017