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Search: id:A066484
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| A066484 |
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Consists of at least 2 distinct digits (repetition of digits allowed), all of whose "rotations" (including the number itself) are exact multiples of its distinct digits. |
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+0
1
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| 1113, 1131, 1311, 2226, 2262, 2622, 3111, 3339, 3393, 3933, 6222, 9333, 11133, 11331, 13311, 22266, 22662, 26622, 31113, 33111, 33399, 33993, 39933, 62226, 66222, 93339, 99333, 111333, 111339, 113331, 113391, 117117, 133311, 133911
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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"Rotation" of a (multi-digit) number involves taking the first digit of the number and putting it at the end to form a new number. For example, successive rotations of 1234 yield the numbers 2341, 3412 and 4123 (Another rotation would give you back the original number).
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LINKS
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Ken Duisenberg, Puzzle of the Week (Dec14,2001), Dividing Rotated Numbers
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EXAMPLE
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The rotations of 137179 are 371791,717913,179137,791371,913717,137179; all these are divisible by 1,3,7,9.
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CROSSREFS
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Sequence in context: A115812 A015292 A154805 this_sequence A151951 A027622 A161848
Adjacent sequences: A066481 A066482 A066483 this_sequence A066485 A066486 A066487
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KEYWORD
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base,nice,nonn
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AUTHOR
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Sudipta Das (juitech(AT)vsnl.net), Jan 02 2002
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