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A295432 a(n) = (12*n)!*(3*n)!*(2*n)!/((6*n)!*(6*n)!*(4*n)!*n!). 1

%I

%S 1,462,579462,825012300,1240292449350,1922257130698212,

%T 3037843525927941276,4866407206411278522456,7873830606510488097067590,

%U 12837724391783995395083457780,21058175422921386792478888300212,34712605923460405627194955063564200

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

%F G.f.: hypergeom([1/12, 5/12, 7/12, 11/12], [1/6, 1/2, 5/6], 1728*x).

%t Array[(12 #)!*(3 #)!*(2 #)!/((6 #)!*(6 #)!*(4 #)!*#!) &, 12, 0] (* _Michael De Vlieger_, Nov 23 2017 *)

%t 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 Cf. A295431.

%K nonn

%O 0,2

%A _Gheorghe Coserea_, Nov 23 2017

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Last modified May 29 07:13 EDT 2022. Contains 354122 sequences. (Running on oeis4.)