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A131497 Values of n such that n^e starts with the digits n. 1
1, 4, 15, 56, 213, 813, 3104, 9632089, 36787239, 140499215, 2049402728, 7827156489, 29893772401, 6360445726168, 24292055125871, 354337952833519, 5168578128432327, 19740029272114749, 4200051540382303047, 16040995858310522148, 233983234616956426935, 893637628328498285466, 3413014663516027432461 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

Subsequence of ceil(10^(k/(e-1))). - Max Alekseyev, Sep 08 2013

LINKS

Max Alekseyev, Table of n, a(n) for n = 1..400

EXAMPLE

213 is a term of this sequence because 213^e = 2133987.96483717..., which starts with 213.

PROG

(PARI) e=exp(1); s=1; for(i=1, 50000, s=i^e; while(s-i>11, s=s/10); if(floor(s)==i, printp1(i, ", "), ))

CROSSREFS

Cf. A131494, A131496

Sequence in context: A001791 A047128 A087438 * A174958 A244824 A316592

Adjacent sequences:  A131494 A131495 A131496 * A131498 A131499 A131500

KEYWORD

nonn,base

AUTHOR

Randy L. Ekl, Aug 12 2007

EXTENSIONS

3 more terms from Ryan Propper, Dec 30 2007

a(11)-a(14) from Donovan Johnson, Oct 29 2010

Terms a(15) onward from Max Alekseyev, Sep 08 2013

STATUS

approved

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Last modified November 15 16:49 EST 2018. Contains 317239 sequences. (Running on oeis4.)