A295433 a(n) = (12*n)!*n!/((8*n)!*(3*n)!*(2*n)!).

1, 990, 3432198, 13768454700, 58626071754822, 257898242928604740, 1158088115444301759900, 5274648294443835666191640, 24274428407219984638641697350, 112600884656246368465947735787860, 525586819747900180429387794022656948, 2465690419601453784410118364323664257000

Offset

0,2

Links

Table of n, a(n) for n=0..11.

Formula

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).

a(n) ~ 3^(9*n) / (sqrt(Pi*n) * 2^(2*n + 3/2)). - Vaclav Kotesovec, Oct 06 2021

Mathematica

Array[(12 #)!*#!/((8 #)!*(3 #)!*(2 #)!) &, 12, 0] (* Michael De Vlieger, Nov 23 2017 *)
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 *)

Crossrefs

Cf. A295431.

Sequence in context: A255917 A154071 A218133 * A068301 A119095 A119077

Adjacent sequences: A295430 A295431 A295432 * A295434 A295435 A295436

Keyword

nonn

Author

Gheorghe Coserea, Nov 23 2017

Status

approved