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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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1
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1, 2, 54, 108, 152, 16200, 2042460, 4416720, 9867312, 2334364200, 421877610, 1779700673520
(list; graph; refs; listen; history; internal format)
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OFFSET
| 2,2
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COMMENTS
| Note that this definition precludes the digit 0 appearing anywhere in the base n representation of the number.
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REFERENCES
| "Enigma 1343: Digital Dividend", New Scientist, Jun 04 2005, p. 28.
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EXAMPLE
| 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
| Sequence in context: A087865 A083471 A078691 * A200195 A202739 A055024
Adjacent sequences: A113025 A113026 A113027 * A113029 A113030 A113031
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KEYWORD
| nonn,more
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AUTHOR
| Peter M. Boothe (peter(AT)cs.uoregon.edu), Jan 03 2006
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EXTENSIONS
| 3 more terms from Francis Carr (fcarr(AT)alum.mit.edu), Feb 08 2006
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