

A125582


Smallest positive integer n with multiplicative persistence m in base 12.


1




OFFSET

0,2


COMMENTS

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 nondecreasing order, so that XXE would be tested but, for example, EXX would not.


LINKS

Table of n, a(n) for n=0..7.


EXAMPLE

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.


MAPLE

Maple program available upon request.


CROSSREFS

Cf. A003001, A031346, A046510, A064867, A064868, A064869, A064870, A064871, A064872.
Sequence in context: A108278 A135502 A256620 * A031107 A019557 A173107
Adjacent sequences: A125579 A125580 A125581 * A125583 A125584 A125585


KEYWORD

more,nonn,base


AUTHOR

Walter Kehowski, Jan 04 2007


STATUS

approved



