A295440 - OEIS

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A295440

a(n) = (18*n)!*(4*n)!*(3*n)!/((9*n)!*(8*n)!*(6*n)!*(2*n)!).

1, 43758, 7012604550, 1288415796384780, 250622090889055155270, 50312973039218473430585508, 10304958075870392958137083227804, 2140123855549810059379592073872919000, 449006091012360080585628994760351491412550, 94939602104589721712783038933265704553286808500

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

OFFSET

0,2

LINKS

Table of n, a(n) for n=0..9.

FORMULA

G.f.: hypergeom([1/18, 5/18, 7/18, 11/18, 13/18, 17/18], [1/8, 3/8, 1/2, 5/8, 7/8], 14348907/64*x).

MATHEMATICA

f[n_] := (18n)! (4n)! (3n)!/((9n)! (8n)! (6n)! (2n)!); Array[f, 10, 0] (* or *)CoefficientList[ Series[ HypergeometricPFQ[{1/18, 5/18, 7/18, 11/18, 13/18, 17/18}, {1/8, 3/8, 1/2, 5/8, 7/8}, 14348907/64 x], {x, 0, 9}], x] (* Robert G. Wilson v, Nov 23 2017 *)

CROSSREFS

Cf. A295431.

Sequence in context: A342580 A165479 A140931 * A045157 A206517 A279892

Adjacent sequences: A295437 A295438 A295439 * A295441 A295442 A295443

KEYWORD

nonn

AUTHOR

Gheorghe Coserea, Nov 23 2017

STATUS

approved