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

Offset: 1

Author

Randy L. Ekl, Aug 12 2007

Keywords

• nonn
• base

Comments

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

Examples

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

Links

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

Crossrefs

Cf. A131494, A131496.

Programs

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,", "),))

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