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A056916
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Product of the orders of the elements in a cyclic group with n elements.
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2
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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; internal format)
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OFFSET
| 1,2
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FORMULA
| a(n) = Product_{ d divides n } d^phi(d). - Vladeta Jovovic (vladeta(AT)eunet.rs), Sep 10 2004
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MAPLE
| a:=n->mul(denom (k/n), k=1..n): seq(a(n), n=1..18); - Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Apr 26 2008
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MATHEMATICA
| Table[Product[n/GCD[n, i], {i, 0, n-1}], {n, 30}] (* From Harvey P. Dale, Oct 24 2011 *)
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CROSSREFS
| Cf. A057660.
Cf. A067911, A071248.
Sequence in context: A114853 A110376 A036505 * A139628 A170872 A123142
Adjacent sequences: A056913 A056914 A056915 * A056917 A056918 A056919
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KEYWORD
| nonn,nice
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AUTHOR
| Sharon Sela (sharonsela(AT)hotmail.com), Feb 10 2002
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EXTENSIONS
| Edited by Dean Hickerson (dean.hickerson(AT)yahoo.com), Mar 04 2002
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