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.

A295432 a(n) = (12*n)!*(3*n)!*(2*n)!/((6*n)!*(6*n)!*(4*n)!*n!).

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%I A295432 #16 Jul 11 2025 03:15:26
%S A295432 1,462,579462,825012300,1240292449350,1922257130698212,
%T A295432 3037843525927941276,4866407206411278522456,7873830606510488097067590,
%U A295432 12837724391783995395083457780,21058175422921386792478888300212,34712605923460405627194955063564200
%N A295432 a(n) = (12*n)!*(3*n)!*(2*n)!/((6*n)!*(6*n)!*(4*n)!*n!).
%F A295432 G.f.: hypergeom([1/12, 5/12, 7/12, 11/12], [1/6, 1/2, 5/6], 1728*x).
%F A295432 a(n) = a(n-1)*6*(12*n - 1)*(12*n - 5)*(12*n - 7)*(12*n - 11)/(n*(2*n - 1)*(6*n - 1)*(6*n - 5)). - _Neven Sajko_, Jul 22 2023
%F A295432 a(n) ~ 2^(6*n - 1) * 3^(3*n) / sqrt(Pi*n). - _Vaclav Kotesovec_, Jul 11 2025
%t A295432 Array[(12 #)!*(3 #)!*(2 #)!/((6 #)!*(6 #)!*(4 #)!*#!) &, 12, 0] (* _Michael De Vlieger_, Nov 23 2017 *)
%t A295432 CoefficientList[ Series[ HypergeometricPFQ[{1/12, 5/12, 7/12, 11/12}, {1/6, 1/2, 5/6}, 1728 x], {x, 0, 11}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y A295432 Cf. A295431.
%K A295432 nonn
%O A295432 0,2
%A A295432 _Gheorghe Coserea_, Nov 23 2017