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A064610
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Sum of number of unitary divisors (A034444(j)) from j=1 to n (the summatory function ud(n)=A064608(n)) is divisible by n.
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6
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OFFSET
| 1,2
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COMMENTS
| The corresponding quotients are 1, 3, 3, 5, 7, 7, 7, 7, 11, ...
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FORMULA
| Mod[A064608(n), n]=0
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EXAMPLE
| For n = 37, the sum A064608(37) = 1+2+2+2+2+4+2+..+4+4+4+2 = 111 = 3*37, so 37 is in the sequence.
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CROSSREFS
| Analogous "integer-mean" sequences for various arithmetical functions are A050226, A056650, A064605, A064606, A064607, A048290, A063986, A063971, A064911, A062982, A045345.
Sequence in context: A160775 A160021 A172016 * A030589 A114965 A061755
Adjacent sequences: A064607 A064608 A064609 * A064611 A064612 A064613
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KEYWORD
| nonn,more
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AUTHOR
| Labos E. (labos(AT)ana.sote.hu), Sep 24 2001
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