login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A131495 Values of n such that n^n starts with the digits of n. 2
1, 10, 19, 100, 278, 1000, 10000, 100000, 486935, 1000000, 4747520, 10000000, 100000000, 112033551, 181695081, 499895124, 979848425, 1000000000, 10000000000, 19412627434, 100000000000 (list; graph; refs; listen; history; text; internal format)
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified October 22 12:47 EDT 2019. Contains 328318 sequences. (Running on oeis4.)