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Search: id:A103173
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| A103173 |
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Numbers n such that decimal digits of n are not present in n^2 or in n^3 or in n^4. |
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+0
1
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OFFSET
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1,1
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COMMENT
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No more values exist below 10^100. The last five digits of any bigger number must be 75557, 85557, 88787, 88188, 88988 or 98988. [From Hagen von Eitzen (math(AT)von-eitzen.de), Jun 16 2009]
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EXAMPLE
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n=77: first-5th powers={77,5929,456533,35153041};
Digits of n appear first in the 5th powers:
{32,243,16807,32768,418195493,2706784157}
Only 6 solutions below powers of 10^7.
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CROSSREFS
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Cf. A029783, A029790.
Sequence in context: A064669 A068342 A038034 this_sequence A098863 A053960 A114056
Adjacent sequences: A103170 A103171 A103172 this_sequence A103174 A103175 A103176
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KEYWORD
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base,more,nonn
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AUTHOR
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Labos E. (labos(AT)ana.sote.hu), Feb 28 2005
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