|
Search: id:A090056
|
|
|
| A090056 |
|
Numbers n divisible by at least one nontrivial permutation (rearrangement) of the digits of n, excluding all permutations that result in digit loss. |
|
+0
4
|
|
| 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; listen)
|
|
|
OFFSET
|
1,1
|
|
|
COMMENT
|
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.
|
|
LINKS
|
C. Seggelin, Numbers Divisible by Digit Permutations.
|
|
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.
|
|
CROSSREFS
|
Cf. A084687, A090055, A090061.
Adjacent sequences: A090053 A090054 A090055 this_sequence A090057 A090058 A090059
Sequence in context: A045079 A092129 A103523 this_sequence A002433 A107535 A133526
|
|
KEYWORD
|
base,nonn
|
|
AUTHOR
|
Chuck Seggelin (barkeep(AT)plastereddragon.com), Nov 21 2003
|
|
|
Search completed in 0.002 seconds
|
