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Search: id:A088145
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| A088145 |
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Let p = prime(n); then a(n) = (Sum(primitiveroots of p) + moebius(p-1))/p. |
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+0
1
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| 0, 1, 1, 1, 2, 2, 4, 3, 6, 6, 4, 6, 8, 6, 13, 12, 15, 8, 10, 15, 12, 14, 21, 20, 16, 20, 18, 27, 18, 24, 19, 27, 32, 24, 36, 22, 24, 28, 46, 42, 46, 24, 42, 32, 42, 35, 27, 34, 58, 36, 56, 53, 32, 52, 64, 71, 66, 39, 44, 48, 48, 72, 48, 66, 48, 78, 44, 48, 88, 56, 80
(list; graph; listen)
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OFFSET
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1,5
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MATHEMATICA
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PrimitiveRootQ[ a_Integer, p_Integer ] := Block[ {fac, res}, fac = FactorInteger[ p - 1 ]; res = Table[ PowerMod[ a, ( p - 1)/fac[ [ i, 1 ] ], p ], {i, Length[ fac ]} ]; ! MemberQ[ res, 1 ] ] PrimitiveRoots[ p_Integer ] := Select[ Range[ p - 1 ], PrimitiveRootQ[ #, p ] & ] Table[ (Total[ PrimitiveRoots[ Prime[ n ] ] ] - MoebiusMu[ Prime[ n ] - 1 ])/Prime[ n ], {n, 1, 100} ]
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CROSSREFS
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Sequence in context: A060367 A062968 A053197 this_sequence A011754 A090105 A082146
Adjacent sequences: A088142 A088143 A088144 this_sequence A088146 A088147 A088148
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KEYWORD
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nonn
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AUTHOR
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Ed Pegg Jr (edp(AT)wolfram.com), Nov 03 2003
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