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A103173 Numbers n such that decimal digits of n are not present in n^2 or in n^3 or in n^4. 0
2, 3, 7, 8, 53, 77 (list; graph; refs; listen; history; internal format)
OFFSET

1,1

COMMENTS

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]

EXAMPLE

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.

CROSSREFS

Cf. A029783, A029790.

Sequence in context: A064669 A068342 A038034 * A098863 A053960 A114056

Adjacent sequences:  A103170 A103171 A103172 * A103174 A103175 A103176

KEYWORD

base,more,nonn

AUTHOR

Labos E. (labos(AT)ana.sote.hu), Feb 28 2005

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Last modified February 14 20:13 EST 2012. Contains 205663 sequences.