Voozh

A131497

Values of k such that k^e starts with the digits of k.

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 ceiling(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