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Search: id:A110268
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| A110268 |
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Consider the sequence A110566: LCM{1,2,...,n}/denominator of harmonic number H(n). a(n) is the factor that is changed going from A110566(n) to A110566(n+1). |
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+0
2
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| 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 5, 3, 1, 1, 3, 5, 1, 3, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 11, 1, 1, 1, 1, 7, 1, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 3, 1, 1, 1, 1, 11, 1, 1, 1, 3, 1, 1, 1, 1, 1, 1, 11, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 25, 1, 1, 1, 1, 5
(list; graph; listen)
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OFFSET
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1,5
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COMMENT
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a(n) is always an odd prime power, A000961.
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EXAMPLE
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A110566(4) through A110566(10) are {1,1,3,3,3,1,1}, therefore the factors are 1,3,1,1,3,1.
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MATHEMATICA
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f[n_] := LCM @@ Range[n]/Denominator[HarmonicNumber[n]]; Table[ LCM[f[n], f[n + 1]]/GCD[f[n], f[n + 1]], {n, 104}]
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CROSSREFS
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Cf. A110566, A112811.
Sequence in context: A103496 A124921 A076498 this_sequence A058965 A090623 A098094
Adjacent sequences: A110265 A110266 A110267 this_sequence A110269 A110270 A110271
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KEYWORD
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nonn
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AUTHOR
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Robert G. Wilson v (rgwv(at)rgwv.com), Sep 17 2005
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