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A099010 Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles of length greater than 1. 20
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, 43208766, 64308654, 64326654 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
86526432, 64308654, 83208762 form a cycle of length three and 86308632, 86326632, 64326654, 43208766, 85317642, 75308643, 84308652 form a cycle of length seven.
LINKS
Joseph Myers, Table of n, a(n) for n=1..28910 [From Joseph Myers, Aug 22 2009]
Eric Weisstein's World of Mathematics, Kaprekar Routine
EXAMPLE
53955 and 59994 form a cycle of length 2 and hence are terms: 53955 -> 95553 - 35559 = 59994 -> 99954 - 45999 = 53955.
CROSSREFS
Cf. A164715 (corresponding cycle lengths) [From Joseph Myers, Aug 24 2009]
In other bases: Empty (base 2), A165000 (base 3), A165019 (base 4), A165039 (base 5), A165058 (base 6), A165078 (base 7), A165097 (base 8), A165117 (base 9). [From Joseph Myers, Sep 05 2009]
Sequence in context: A099231 A237547 A100422 * A164723 A164720 A151959
KEYWORD
nonn,base
AUTHOR
Klaus Brockhaus, Sep 22 2004
EXTENSIONS
Definition revised ny N. J. A. Sloane, Aug 18 2009
Extended by Joseph Myers, Aug 22 2009
STATUS
approved

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Last modified March 18 22:56 EDT 2024. Contains 370952 sequences. (Running on oeis4.)