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A125582
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Smallest positive integer n with multiplicative persistence m in base 12.
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1
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OFFSET
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0,2
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COMMENTS
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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.
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LINKS
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Table of n, a(n) for n=0..7.
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EXAMPLE
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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.
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MAPLE
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Maple program available upon request.
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CROSSREFS
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Cf. A003001, A031346, A046510, A064867, A064868, A064869, A064870, A064871, A064872.
Sequence in context: A145470 A108278 A135502 * A031107 A019557 A173107
Adjacent sequences: A125579 A125580 A125581 * A125583 A125584 A125585
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KEYWORD
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more,nonn,base
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AUTHOR
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Walter Kehowski, Jan 04 2007
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STATUS
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approved
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