A131495 Values of n such that n^n starts with the digits of n.

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

Links

Table of n, a(n) for n=1..21.

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

Adjacent sequences: A131492 A131493 A131494 * A131496 A131497 A131498

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