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Search: id:A056916
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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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+0
2
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| 1, 2, 9, 32, 625, 648, 117649, 131072, 4782969, 12500000, 25937424601, 214990848, 23298085122481, 1771684761728, 14416259765625, 562949953421312, 48661191875666868481, 11712917736940032
(list; graph; listen)
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OFFSET
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1,2
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FORMULA
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a(n) = Product_{ d divides n } d^phi(d). - Vladeta Jovovic (vladeta(AT)Eunet.yu), Sep 10 2004
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MAPLE
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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
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a[n_] := Product[n/GCD[n, i], {i, 0, n-1}]
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CROSSREFS
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Cf. A057660.
Cf. A067911, A071248.
Sequence in context: A114853 A110376 A036505 this_sequence A139628 A123142 A122097
Adjacent sequences: A056913 A056914 A056915 this_sequence A056917 A056918 A056919
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KEYWORD
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nonn,nice
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AUTHOR
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Sharon Sela (sharonsela(AT)hotmail.com), Feb 10 2002
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EXTENSIONS
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Edited by Dean Hickerson (dean(AT)math.ucdavis.edu), Mar 04 2002
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