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Search: id:A089579
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A089579 Total number of exact powers below 10^n (without counting duplicates). +0
4
3, 11, 39, 123, 365, 1109, 3393, 10489, 32668, 102229, 320988, 1010194, 3184136, 10046919, 31723590, 100216743, 316694003, 1001003330, 3164437423, 10004650116, 31632790242, 100021566155, 316274216760, 1000100055682 (list; graph; listen)
OFFSET

1,1

MATHEMATICA

Table[lim=10^n-1; Sum[ -(Floor[lim^(1/k)]-1)*MoebiusMu[k], {k, 2, Floor[Log[2, lim]]}], {n, 30}] - T. D. Noe (noe(AT)sspectra.com), Nov 16 2006

CROSSREFS

Cf. A001597.

Sequence in context: A027528 A112674 A064086 this_sequence A002783 A007482 A134760

Adjacent sequences: A089576 A089577 A089578 this_sequence A089580 A089581 A089582

KEYWORD

nonn

AUTHOR

Martin Renner (martin.renner(AT)gmx.net), Dec 29 2003

EXTENSIONS

2 more terms from Martin Renner (martin.renner(AT)gmx.net), Oct 02 2004

More terms from T. D. Noe (noe(AT)sspectra.com), Nov 16 2006

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Last modified July 24 12:00 EDT 2008. Contains 142294 sequences.


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