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A052211
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Numbers whose fourth power starts with the same digits as the number.
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0
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1, 10, 100, 1000, 10000, 46416, 100000, 464159, 1000000, 2154435, 4641589, 10000000, 21544347, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 2154434690032, 4641588833613, 10000000000000
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Sort[ Table[ 10^i,{i,0,22} ]~Join~Select[ Table[ Ceiling[ 10.^(1/3)*10^i ],{i,0,22} ], Take[ IntegerDigits[ #^4 ],Length[ IntegerDigits[ # ] ] ]==IntegerDigits[ # ]& ]~Join~Select[ Table[ Ceiling[ 10.^(2/3)*10^i ],{i,0,22} ],Take[ IntegerDigits[ #^4 ],Length[ IntegerDigits[ # ] ] ]==IntegerDigits[ # ]& ] ]
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EXAMPLE
| 46416^4 starts with 46416
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CROSSREFS
| Sequence in context: A136878 A136871 A135653 * A136845 A136837 A136854
Adjacent sequences: A052208 A052209 A052210 * A052212 A052213 A052214
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KEYWORD
| base,easy,nonn
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AUTHOR
| Erich Friedman (efriedma(AT)stetson.edu), Jan 29 2000
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