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A322252 a(0) = 1 and a(n) = (5*n)!/(5!*n!^5) for n > 0. 1
1, 1, 945, 1401400, 2546168625, 5194672859376, 11423951396577720, 26478825654361766400, 63805953776276649848625, 158421985022100255941485000, 402789797982510165934296910320, 1044048983553856888083223814102400, 2749848597736878877579660426025283000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Table of n, a(n) for n=0..12.

FORMULA

O.g.f.: F({1/5, 2/5, 3/5, 4/5}, {1, 1, 1}, 3125*x)/(120*x), where F is the generalized hypergeometric function. - Stefano Spezia, Dec 01 2018

a(n) = (1/5!)*A008978(n) for n >= 1. - Peter Bala, Feb 18 2020

MATHEMATICA

a[n_]:=(5*n)!/(5!*n!^5); Array[a, 20] (* or *) CoefficientList[Series[HypergeometricPFQ[{1/5, 2/5, 3/5, 4/5}, {1, 1, 1}, 3125 x]/(120 x) , {x, 0, 20}], x] (* Stefano Spezia, Dec 01 2018 *)

PROG

(MAGMA) [1] cat [Factorial(5*n)/(120*Factorial(n)^5):n in [1..12]]; // Marius A. Burtea, Feb 18 2020

CROSSREFS

Row 5 of A060540.

Cf. A000142, A100734, A008978, A060542, A082368.

Sequence in context: A112491 A263889 A133353 * A119240 A257722 A093247

Adjacent sequences:  A322249 A322250 A322251 * A322253 A322254 A322255

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Nov 30 2018

STATUS

approved

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Last modified May 14 06:21 EDT 2021. Contains 343872 sequences. (Running on oeis4.)