A295435 - OEIS

A295435

a(n) = (12*n)!*(3*n)!/((6*n)!*(5*n)!*(4*n)!).

1, 1386, 6374082, 33660501840, 188276393811330, 1087036407409838886, 6403774152656100209808, 38253942248288803868931624, 230861076790453965336241603458, 1404158783195280855598258861670940, 8593283348445510533260633624776561582, 52853021730805678055150543201466838900800

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OFFSET

0,2

LINKS

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

FORMULA

G.f.: hypergeom([1/12, 1/3, 5/12, 7/12, 2/3, 11/12], [1/5, 2/5, 1/2, 3/5, 4/5], 20155392/3125*x).

MATHEMATICA

Array[(12 #)!*(3 #)!/((6 #)!*(5 #)!*(4 #)!) &, 12, 0] (* Michael De Vlieger, Nov 23 2017 *)

CoefficientList[ Series[ HypergeometricPFQ[{1/12, 1/3, 5/12, 7/12, 2/3, 11/12}, {1/5, 2/5, 1/2, 3/5, 4/5}, 20155392/3125 x], {x, 0, 11}], x] (* Robert G. Wilson v, Nov 23 2017 *)

CROSSREFS

Cf. A295431.

Sequence in context: A092721 A214355 A230334 * A200315 A063879 A063172

Adjacent sequences: A295432 A295433 A295434 * A295436 A295437 A295438

KEYWORD

nonn

AUTHOR

Gheorghe Coserea, Nov 23 2017

STATUS

approved