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URL: https://oeis.org/A131495

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A131495
Values of n such that n^n starts with the digits of n.
10
1, 10, 19, 100, 278, 1000, 10000, 100000, 486935, 1000000, 4747520, 10000000, 100000000, 112033551, 181695081, 499895124, 979848425, 1000000000, 10000000000, 19412627434, 100000000000
OFFSET
1,2
COMMENTS
All integers of the form 10^k are in the sequence. - Farideh Firoozbakht, Nov 06 2007
EXAMPLE
278 is a term of the sequence because 278^278 = 278.261... * 10^677, which starts with 278.
19412627434^19412627434 = 19412627434.11420738589... * 10^199718747897. - Berend Jan van der Zwaag (b.j.vanderzwaag(AT)utwente.nl), Aug 12 2009
PROG
(PARI) s=1; for(i=1, 1500, s=i^i; while(s-i>11, s=s/10); if(floor(s)==i, printp1(i, ", "), ))
CROSSREFS
Sequence in context: A181898 A219688 A166706 * A060630 A070199 A015445
KEYWORD
more,nonn,base
AUTHOR
Randy L. Ekl, Aug 12 2007
EXTENSIONS
One more term from Farideh Firoozbakht, Nov 06 2007
More terms from Berend Jan van der Zwaag (b.j.vanderzwaag(AT)utwente.nl), Aug 12 2009
STATUS
approved