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A163089 n! / (Product{k|n} k$). Here '$' denotes the swinging factorial function (A056040). 2
1, 1, 1, 1, 2, 4, 3, 36, 48, 96, 240, 14400, 2160, 518400, 90720, 141120, 1935360, 1625702400, 870912, 131681894400, 145152000, 15676416000, 287400960000, 1593350922240000, 14780620800, 7648084426752000, 1614043791360000 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,5

LINKS

Table of n, a(n) for n=0..26.

Peter Luschny, Swinging Primes.

MAPLE

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

MATHEMATICA

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

CROSSREFS

Cf. A163087, A163088.

Sequence in context: A071970 A182103 A303053 * A258371 A111172 A173556

Adjacent sequences:  A163086 A163087 A163088 * A163090 A163091 A163092

KEYWORD

nonn

AUTHOR

Peter Luschny, Jul 21 2009

STATUS

approved

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Last modified September 15 22:10 EDT 2019. Contains 327088 sequences. (Running on oeis4.)