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%I #12 Oct 06 2021 10:31:58
%S 1,990,3432198,13768454700,58626071754822,257898242928604740,
%T 1158088115444301759900,5274648294443835666191640,
%U 24274428407219984638641697350,112600884656246368465947735787860,525586819747900180429387794022656948,2465690419601453784410118364323664257000
%N a(n) = (12*n)!*n!/((8*n)!*(3*n)!*(2*n)!).
%F G.f.: hypergeom([1/12, 1/6, 5/12, 7/12, 5/6, 11/12], [1/8, 3/8, 1/2, 5/8, 7/8], 19683/4*x).
%F a(n) ~ 3^(9*n) / (sqrt(Pi*n) * 2^(2*n + 3/2)). - _Vaclav Kotesovec_, Oct 06 2021
%t Array[(12 #)!*#!/((8 #)!*(3 #)!*(2 #)!) &, 12, 0] (* _Michael De Vlieger_, Nov 23 2017 *)
%t CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/6, 5/12, 7/12, 5/6, 11/12}, {1/8, 3/8, 1/2, 5/8, 7/8}, 19683 x], {x, 0, 10}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)
%Y Cf. A295431.
%K nonn
%O 0,2
%A _Gheorghe Coserea_, Nov 23 2017