A103663 Smallest integer base x > 1 such that x^n has no digit 0 in its decimal representation, or 0 if no such x exists.

2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 5, 3, 3, 2, 2, 2, 2, 4, 2, 2, 12, 381, 22, 3, 2, 2, 3, 2, 2, 6, 5, 2, 2, 2, 2, 2, 2, 2, 4, 2, 0, 11, 0, 4, 6, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 0, 2, 0, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset

0,1

Comments

Bases associated with A103662. [Corrected by M. F. Hasler, Mar 09 2014]

Zero values are conjectural. a(40) was checked up to 10^9 by Joshua Zucker. All other zero values were checked up to 10^5 by David Wasserman.

Links

Table of n, a(n) for n=0..102.

Example

a(10) = 5 because 5^10 is the smallest 10th power containing no zero in its decimal representation (2^10 = 1024, 3^10 = 59049, 4^10 = 1048576).

Crossrefs

Cf. A103662 = smallest power x^n with integer x>1 that has no digit 0 in its decimal representation.

A007377 gives n such that a(n) = 2. Cf. A008839, A030700-A030706.

Sequence in context: A025856 A350765 A103378 * A349925 A339171 A083311

Adjacent sequences: A103660 A103661 A103662 * A103664 A103665 A103666

Keyword

base,nonn

Author

Hugo Pfoertner, Feb 28 2005

Extensions

a(21) = 381 found by Joshua Zucker

More terms from David Wasserman, Apr 17 2008

Status

approved