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Search: id:A131495
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| A131495 |
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Values of n such that n^n starts with the digits of n. |
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+0
1
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| 1, 10, 19, 100, 278, 1000, 10000, 100000, 486935, 1000000, 4747520, 10000000, 100000000, 112033551, 181695081, 499895124, 979848425, 1000000000, 10000000000, 19412627434, 100000000000
(list; graph; listen)
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OFFSET
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1,2
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COMMENT
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All natural numbers of the form 10^k are in the sequence. There is no further term up to 60000. - Farideh Firoozbakht (mymontain(AT)yahoo.com), Nov 06 2007
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EXAMPLE
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278 is a term of the sequence because 278^278 = 278.261... * 10^677, which starts with 278.
19412627434^19412627434 = 19412627434.11420738589... * 10^199718747897 [From Berend Jan van der Zwaag (b.j.vanderzwaag(AT)utwente.nl), Aug 12 2009]
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PROGRAM
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(PARI) s=1; for(i=1, 1500, s=i^i; while(s-i>11, s=s/10); if(floor(s)==i, printp1(i, ", "), ))
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CROSSREFS
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Sequence in context: A146091 A007811 A166706 this_sequence A060630 A070199 A015445
Adjacent sequences: A131492 A131493 A131494 this_sequence A131496 A131497 A131498
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KEYWORD
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more,nonn,base
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AUTHOR
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Randy L. Ekl (Randy.Ekl(AT)Motorola.com), Aug 12 2007
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EXTENSIONS
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One more term from Farideh Firoozbakht (mymontain(AT)yahoo.com), Nov 06 2007
More terms from Berend Jan van der Zwaag (b.j.vanderzwaag(AT)utwente.nl), Aug 12 2009
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