%I #7 Nov 26 2017 19:32:23

%S 1,110,28842,8558480,2679559018,864609808860,284430822189360,

%T 94838361498813504,31937586416482122090,10837486229625098253938,

%U 3699768692414430886979092,1269247320827841357100956000,437197260018920565848972207920,151108564566619626342188272922000,52379783376231201890753924949502656,18202391389394546898846524075693898480

%N a(n) = (12*n)!*(2*n)!/((9*n)!*(4*n)!*n!).

%F G.f.: hypergeom([1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12], [1/9, 2/9, 4/9, 5/9, 7/9, 8/9], 262144/729*x).

%t f[n_] := (12n)! (2n)!/((9n)! (4n)! n!); Array[f, 14, 0] (* or *)CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/6, 5/12, 1/2, 7/12, 5/6, 11/12}, {1/9, 2/9, 4/9, 5/9, 7/9, 8/9}, 262144/729 x], {x, 0, 13}], x] (* _Robert G. Wilson v_, Nov 23 2017 *)

%Y Cf. A295431.

%K nonn

%O 0,2

%A _Gheorghe Coserea_, Nov 23 2017