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Search: id:A069624
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| A069624 |
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Number of different values taken by the integer part of n^(1/k) for all k >= 1. |
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+0
2
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| 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5
(list; graph; listen)
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OFFSET
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1,4
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EXAMPLE
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a(28) = 4, floor[28^(1/2)] = 5, floor[28^1/3] = 3, floor[28^1/4] = 2, floor [28^1/5] = 1= floor[28^1/k, (k > 5)], etc. The distinct values are 1,2,3 and 5.
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MATHEMATICA
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f[n_] := Block[{k = 1}, While[ Floor[n^(1/k)] != 1, k++ ]; k]; Table[ Length[ Union[ Table[ Floor[n^(1/k)], {k, 2, f[n]+1}]]], {n, 1, 105}]
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CROSSREFS
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Cf. A071913.
Sequence in context: A133874 A053384 A165020 this_sequence A092139 A084558 A163291
Adjacent sequences: A069621 A069622 A069623 this_sequence A069625 A069626 A069627
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KEYWORD
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nonn
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AUTHOR
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Amarnath Murthy (amarnath_murthy(AT)yahoo.com), Mar 27 2002
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EXTENSIONS
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Edited by N. J. A. Sloane (njas(AT)research.att.com) and Robert G. Wilson v (rgwv(AT)rgwv.com), Jun 14 2002
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