A295437 - OEIS

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A295437

a(n) = (18*n)!*n!/((9*n)!*(6*n)!*(4*n)!).

1, 1021020, 6016814703900, 41477110789150966020, 304331361887290342345862940, 2309513382640863232775760738593520, 17900786683992090777583802478540374204100, 140773522690118901080808611014971776285838687000

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..7.

FORMULA

G.f.: hypergeom([1/18, 5/18, 7/18, 11/18, 13/18, 17/18], [1/4, 1/3, 1/2, 2/3, 3/4], 8503056*x).

MATHEMATICA

Array[(18 #)!*#!/((9 #)!*(6 #)!*(4 #)!) &, 8, 0] (* Michael De Vlieger, Nov 23 2017 *)

CoefficientList[ Series[ HypergeometricPFQ[{1/18, 5/18, 7/18, 11/18, 13/18, 17/18}, {1/4, 1/3, 1/2, 2/3, 3/4}, 8503056 x], {x, 0, 8}], x] (* Robert G. Wilson v, Nov 23 2017 *)

CROSSREFS

Cf. A295431.

Sequence in context: A232144 A293127 A190381 * A254265 A254258 A254304

Adjacent sequences: A295434 A295435 A295436 * A295438 A295439 A295440

KEYWORD

nonn

AUTHOR

Gheorghe Coserea, Nov 23 2017

STATUS

approved