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A163088 (Product{k|n} k$) / n$. Here '$' denotes the swinging factorial function (A056040). 2
1, 1, 1, 1, 2, 1, 12, 1, 12, 6, 60, 1, 240, 1, 280, 180, 840, 1, 151200, 1, 90720, 840, 5544, 1, 15523200, 30, 24024, 3780, 5765760, 1, 93405312000, 1, 10810800, 16632, 437580, 4200, 6792641856000, 1, 1847560, 72072, 1173274502400 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..40.

Peter Luschny, Swinging Primes.

MAPLE

a := n -> A163087(n) / A056040(n):

MATHEMATICA

sf[n_] := With[{f = Floor[n/2]}, Pochhammer[f+1, n-f]/f!]; a[0] = 1; a[n_] := Product[sf[k], {k, Divisors[n]}]/sf[n]; Table[a[n], {n, 0, 40}] (* Jean-Fran├žois Alcover, Jul 26 2013 *)

CROSSREFS

Cf. A163087, A163089.

Sequence in context: A069249 A128247 A161150 * A105608 A051190 A072512

Adjacent sequences:  A163085 A163086 A163087 * A163089 A163090 A163091

KEYWORD

nonn

AUTHOR

Peter Luschny, Jul 21 2009

STATUS

approved

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Last modified October 16 21:10 EDT 2019. Contains 328103 sequences. (Running on oeis4.)