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A090056
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Numbers n divisible by at least one nontrivial permutation (rearrangement) of the digits of n, excluding all permutations that result in digit loss.
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3
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3105, 7128, 7425, 8316, 8712, 9513, 9801, 30105, 31050, 37125, 42741, 44172, 67128, 70416, 71208, 71253, 71280, 71328, 71928, 72108, 72441, 74142, 74250, 74628, 74925, 78912, 79128, 80712, 81816, 82755, 83160, 83181, 83916, 84510
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Trivial permutations are identified as those where the permutation = n itself. Digit loss occurs when a permutation has 0 in the most significant position, which drops off, leaving a number with fewer digits. For example, when n is 3105, the permutation 0315 is excluded because 315 has fewer digits than 3105. These exclusions make this sequence a subset of A090055. A084687 is a subset of this sequence.
Apparently each term of this sequence is divisible by 3. This has been confirmed for the first 100 terms.
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LINKS
| C. Seggelin, Numbers Divisible by Digit Permutations.
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EXAMPLE
| a(1)=3105 because 3105 is divisible by 1035, a nontrivial permutation of 3105 with the same number of digits. a(4)=8316 because 8316 is divisible by 1386, a nontrivial permutation of 8316 with the same number of digits.
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CROSSREFS
| Cf. A084687, A090055, A090061.
Sequence in context: A206132 A187305 A103523 * A187593 A137839 A183850
Adjacent sequences: A090053 A090054 A090055 * A090057 A090058 A090059
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KEYWORD
| base,nonn
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AUTHOR
| Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003
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