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A353038
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Unitary harmonic numbers (A006086) that are not unitary arithmetic numbers (A103826).
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0
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OFFSET
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1,1
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COMMENTS
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There are 290 unitary harmonic numbers below 10^12, and only 7 of them are in this sequence.
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LINKS
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EXAMPLE
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90 is in the sequence since its unitary divisors are {1, 2, 5, 9, 10, 18, 45, 90}, their harmonic mean, 4, is an integer, but their arithmetic mean, 45/2, is not.
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MATHEMATICA
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q[n_] := Module[{f = FactorInteger[n], d, s}, d = 2^Length[f]; s = Times @@ (1 + Power @@@ f); IntegerQ[n*d/s] && !IntegerQ[s/d]]; Select[Range[5*10^7], q]
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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STATUS
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approved
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