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Search: id:A089580
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| A089580 |
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Total number of exact powers below 10^n (counting duplicates). |
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+0
3
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| 3, 15, 49, 143, 406, 1174, 3507, 10674, 32965, 102716, 321797, 1011533, 3186389, 10050743, 31730134, 100228040, 316713623, 1001037546, 3164497349, 10004755374, 31632975598, 100021893194, 316274794666, 1000101078148
(list; graph; listen)
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OFFSET
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1,1
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EXAMPLE
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E.g. 16 = 2^4 = 4^2 counts double, 256 = 2^8 = 4^4 = 16^2 counts three times.
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MATHEMATICA
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Table[lim=10^n-1; Sum[Floor[lim^(1/k)]-1, {k, 2, Floor[Log[2, lim]]}], {n, 30}] - T. D. Noe (noe(AT)sspectra.com), Nov 16 2006
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CROSSREFS
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Cf. A001597.
Cf. A089579 (not counting duplicates).
Sequence in context: A135622 A061316 A124161 this_sequence A034564 A012203 A112586
Adjacent sequences: A089577 A089578 A089579 this_sequence A089581 A089582 A089583
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KEYWORD
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nonn
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AUTHOR
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Martin Renner (martin.renner(AT)gmx.net), Dec 29 2003
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EXTENSIONS
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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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