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Search: id:A099010
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| A099010 |
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Cycle elements of the Kaprekar mapping f(n) = n' - n'', where in n' the digits of n are arranged in descending, in n'' in ascending order. |
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2
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| 53955, 59994, 61974, 62964, 63954, 71973, 74943, 75933, 82962, 83952, 420876, 642654, 750843, 840852, 851742, 860832, 862632, 7509843, 7519743, 7619733, 8429652, 8439552, 8649432, 8719722, 9529641
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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86526432, 64308654, 83208762 form a cycle of length three, and 86308632, 8632663 2, 64326654, 43208766, 85317642, 75308643, 84308652 form a cycle of length seven. It is conjectured that these are the only cycles of eight-digit numbers and that these numbers (sorted) are the next ten terms.
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LINKS
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Eric Weisstein's World of Mathematics, KaprekarRoutine
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EXAMPLE
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53955 and 59994 form a cycle of length 2 and hence are terms: 53955 -> 95553 - 35559 = 59994 -> 99954 - 45999 = 53955.
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CROSSREFS
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Cf. A090429, A069746, A099009.
Sequence in context: A061330 A099231 A100422 this_sequence A038564 A083616 A092008
Adjacent sequences: A099007 A099008 A099009 this_sequence A099011 A099012 A099013
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KEYWORD
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nonn,base
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Sep 22 2004
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