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A029795
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Numbers n such that n and n^3 have the same set of digits.
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3
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0, 1, 10, 100, 1000, 10000, 100000, 107624, 109573, 132485, 138624, 159406, 165640, 192574, 205738, 215806, 251894, 281536, 318725, 419375, 427863, 568314, 642510, 713960, 953867, 954086, 963218, 965760, 1000000, 1008529, 1023479
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Conjecture: there exists some m and N for which a(n) = m + n for all n >= N. [Charles R Greathouse IV, Jun 28 2011]
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LINKS
| Nathaniel Johnston, Table of n, a(n) for n = 1..500
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MAPLE
| seq(`if`(convert(convert(n, base, 10), set) = convert(convert(n^3, base, 10), set), n, NULL), n=0..500000); # Nathaniel Johnston, Jun 28 2011
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PROG
| (MAGMA) [ n: n in [0..8*10^6] | Set(Intseq(n)) eq Set(Intseq(n^3)) ]; // Bruno Berselli, Jun 28 2011
(PARI) isA029795(n)=Set(Vec(Str(n)))==Set(Vec(Str(n^3))) \\ Charles R Greathouse IV, Jun 28 2011
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CROSSREFS
| Cf. A029793, A029797.
Sequence in context: A136837 A136854 A029778 * A136844 A136842 A136872
Adjacent sequences: A029792 A029793 A029794 * A029796 A029797 A029798
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KEYWORD
| nonn,base
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AUTHOR
| Patrick De Geest (pdg(AT)worldofnumbers.com)
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