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A056916 Product of the orders of the elements in a cyclic group with n elements. 4
1, 2, 9, 32, 625, 648, 117649, 131072, 4782969, 12500000, 25937424601, 214990848, 23298085122481, 1771684761728, 14416259765625, 562949953421312, 48661191875666868481, 11712917736940032, 104127350297911241532841, 5120000000000000000, 7788651757984142343081 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Amiram Eldar, Table of n, a(n) for n = 1..388

FORMULA

a(n) = Product_{ d divides n } d^phi(d). - Vladeta Jovovic, Sep 10 2004

MAPLE

a:=n->mul(denom (k/n), k=1..n): seq(a(n), n=1..18); # Zerinvary Lajos, Apr 26 2008

MATHEMATICA

Table[Product[n/GCD[n, i], {i, 0, n-1}], {n, 30}] (* Harvey P. Dale, Oct 24 2011 *)

CROSSREFS

Cf. A057660.

Cf. A067911, A071248.

Sequence in context: A296151 A036505 A264234 * A139628 A170872 A123142

Adjacent sequences:  A056913 A056914 A056915 * A056917 A056918 A056919

KEYWORD

nonn,nice

AUTHOR

Sharon Sela (sharonsela(AT)hotmail.com), Feb 10 2002

EXTENSIONS

Edited by Dean Hickerson, Mar 04 2002

STATUS

approved

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Last modified November 14 07:07 EST 2019. Contains 329110 sequences. (Running on oeis4.)