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Search: id:A113028
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| A113028 |
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a(n) is the largest integer whose base n digits are all different that is divisible by each of its individual digits. |
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+0
2
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| 1, 2, 54, 108, 152, 16200, 2042460, 4416720, 9867312, 2334364200, 421877610, 1779700673520
(list; graph; listen)
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OFFSET
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2,2
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COMMENT
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Note that this definition precludes the digit 0 appearing anywhere in the base n representation of the number.
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REFERENCES
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"Enigma 1343: Digital Dividend", New Scientist, Jun 04 2005, p. 28.
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EXAMPLE
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a(2) = 1 trivially because that is the only number in base 2 that does not contain 0.
a(4) = 54 because in base 4, 54 is 312_4. There is only one number containing different digits and no zeros higher than that, namely 321_4, but 321_4 is not divisible by 2.
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CROSSREFS
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Sequence in context: A087865 A083471 A078691 this_sequence A055024 A057411 A157058
Adjacent sequences: A113025 A113026 A113027 this_sequence A113029 A113030 A113031
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KEYWORD
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nonn,more
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AUTHOR
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Peter M. Boothe (peter(AT)cs.uoregon.edu), Jan 03 2006
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EXTENSIONS
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3 more terms from Francis Carr (fcarr(AT)alum.mit.edu), Feb 08 2006
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