A103663 - OEIS

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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

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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.