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

Author

Randy L. Ekl, Aug 12 2007

Keywords

• more
• nonn
• base

Comments

All integers of the form 10^k are in the sequence. - Farideh Firoozbakht, Nov 06 2007

Examples

			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
		

Programs

PARI

s=1;for(i=1,1500,s=i^i; while(s-i>11,s=s/10);if(floor(s)==i,printp1(i,", "),))

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