%I A125582
%S A125582 1,12,30,46,83,1099,1571,17902874277
%N A125582 Smallest positive integer n with multiplicative persistence m in base 
               12.
%C A125582 The sequence in base 12 is 1, 10, 26, 3X, 6E, 777, XXE, 3577777799., 
               where X is 10 and E is 11. I have searched numbers up to 24 digits 
               in base 12 excluding any numbers that might contain the digit 1 or 
               any combination of digits that might multiply to 0 mod 12. The numbers 
               also had digits in non-decreasing order, so that XXE would be tested 
               but, for example, EXX would not.
%e A125582 a(1)=0 since no multiplication takes place. a(6)=1571 since 1571, 1100, 
               392, 128, 80, 48, 0 is the chain with six multiplications. In base 
               12, XXE, 778, 288, X8, 68, 40, 0.
%p A125582 Maple program available upon request.
%Y A125582 Cf. A003001, A031346, A046510, A064867, A064868, A064869, A064870, A064871, 
               A064872.
%Y A125582 Sequence in context: A145470 A108278 A135502 this_sequence A031107 A019557 
               A131874
%Y A125582 Adjacent sequences: A125579 A125580 A125581 this_sequence A125583 A125584 
               A125585
%K A125582 more,nonn
%O A125582 0,2
%A A125582 Walter A. Kehowski (wkehowski(AT)cox.net), Jan 04 2007