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%I #10 Nov 26 2017 19:31:14
%S 1,99,22287,5663700,1517599215,418974963099,117912668329092,
%T 33631821857441592,9687910353619450095,2811928784155292169225,
%U 821085376403131135219287,240930004359452293067067600,70981901511015157572343133700,20983636110818804086505029904100,6221192124050298514903984159997400
%N a(n) = (12*n)!*(3*n)!/((8*n)!*(6*n)!*n!).
%F G.f.: hypergeom([1/12, 1/3, 5/12, 7/12, 2/3, 11/12], [1/8, 3/8, 1/2, 5/8, 7/8], 19683/64*x).
%t Array[(12 #)!*(3 #)!/((8 #)!*(6 #)!*#!) &, 15, 0] (* _Michael De Vlieger_, Nov 23 2017 *)
%t CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/3, 5/12, 7/12, 2/3, 11/12}, {1/8, 3/8, 1/2, 5/8, 7/8}, 19683/64 x], {x, 0, 14}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y Cf. A295431.
%K nonn
%O 0,2
%A _Gheorghe Coserea_, Nov 23 2017