# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a103663 Showing 1-1 of 1 %I A103663 #13 Mar 11 2014 18:03:25 %S A103663 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, %T A103663 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, %U A103663 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 %N 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. %C A103663 Bases associated with A103662. [Corrected by _M. F. Hasler_, Mar 09 2014] %C A103663 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_. %e A103663 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). %Y A103663 Cf. A103662 = smallest power x^n with integer x>1 that has no digit 0 in its decimal representation. %Y A103663 A007377 gives n such that a(n) = 2. Cf. A008839, A030700-A030706. %K A103663 base,nonn %O A103663 0,1 %A A103663 _Hugo Pfoertner_, Feb 28 2005 %E A103663 a(21) = 381 found by _Joshua Zucker_ %E A103663 More terms from _David Wasserman_, Apr 17 2008 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE