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Search: id:A133208
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| A133208 |
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a(n) is the smallest number k such that k^n has the same digits as some other n-th power without leading zeros. |
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| 12, 5, 4, 348, 731, 1001, 1001, 3747, 6526, 10001, 3967, 19365, 29088, 9436, 53331, 30484, 72091, 49255, 30342, 59579, 52604, 280501, 88379, 445885, 452341, 98107, 755179, 490404, 126493, 205417, 170613, 781944, 821573
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OFFSET
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2,1
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COMMENT
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The case where 10^n has the same digits as 1^n is excluded by no leading zeros constraint.
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EXAMPLE
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12^2 = 144 - the same digits as 21^2 = 441.
5^3 = 125 - the same digits as 8^3 = 512.
4^4 = 256 - the same digits as 5^4 = 625.
348^5 = 5103830227968 - the same digits as 381^5 = 8028323765901.
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CROSSREFS
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Adjacent sequences: A133205 A133206 A133207 this_sequence A133209 A133210 A133211
Sequence in context: A038330 A107670 A002679 this_sequence A122561 A110185 A038331
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KEYWORD
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base,more,nonn,new
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AUTHOR
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Tanya Khovanova (tanyakh(AT)yahoo.com), Oct 10 2007
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EXTENSIONS
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a(6)-a(34) from Donovan Johnson (donovan.johnson(AT)yahoo.com), Apr 22 2008
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