A046149 Smallest n-digit number with maximal multiplicative persistence A014553.

0, 77, 679, 6788, 68889, 168889, 2677889, 26888999, 126888999, 3778888999, 13778888999, 113778888999, 1113778888999, 11113778888999, 277777788888899, 1277777788888899, 11277777788888899, 111277777788888899

Offset

1,2

Comments

Since there exists no number k <= 10^200 with multiplicative persistence 12, a(n) = (10^(n-15)-1)/9*10^15 + 277777788888899 for 15 <= n <= 200. - A.H.M. Smeets, Sep 18 2018

Links

Table of n, a(n) for n=1..18.

N. J. A. Sloane, The persistence of a number, J. Recreational Math., 6 (1973), 97-98.

Eric Weisstein's World of Mathematics, Multiplicative Persistence.

Crossrefs

Cf. A014553, A046148, A046150.

Sequence in context: A154058 A027574 A059047 * A222728 A223649 A205434

Adjacent sequences: A046146 A046147 A046148 * A046150 A046151 A046152

Keyword

nonn,base

Author

Eric W. Weisstein

Extensions

a(8)-a(18) from Donovan Johnson, Mar 30 2010

Status

approved