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Search: id:A099740
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| A099740 |
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Sum{k|n} k!*mu(k), where mu() is the Moebius function. |
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+0
1
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| 1, -1, -5, -1, -119, 713, -5039, -1, -5, 3628679, -39916799, 713, -6227020799, 87178286159, 1307674367875, -1, -355687428095999, 713, -121645100408831999, 3628679, 51090942171709434955, 1124000727777567763199, -25852016738884976639999
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OFFSET
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1,3
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COMMENT
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a(2^k)=1, a(3^k)=5, a(5^k)=119, a(6*2^i*3^j)=713, a(7^k)=5039, a(10*2^i*5^j)=3628679, etc. - Robert G. Wilson v Nov 12 2004.
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MATHEMATICA
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f[n_] := Block[{k = Divisors[n]}, Plus @@ (k!MoebiusMu[k])]; Table[ f[n], {n, 25}] (from Robert G. Wilson v Nov 12 2004)
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CROSSREFS
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Adjacent sequences: A099737 A099738 A099739 this_sequence A099741 A099742 A099743
Sequence in context: A050970 A138548 A113114 this_sequence A133002 A075266 A009826
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KEYWORD
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sign
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AUTHOR
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Leroy Quet (qq-quet(AT)mindspring.com), Nov 09 2004
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EXTENSIONS
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More terms from Robert G. Wilson v (rgwv(AT)rgwv.com), Nov 12 2004
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