

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
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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
Index entries for the Kaprekar map


EXAMPLE

53955 and 59994 form a cycle of length 2 and hence are terms: 53955 > 95553  35559 = 59994 > 99954  45999 = 53955.


CROSSREFS

Cf. A151949, A090429, A069746, A099009.
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
Adjacent sequences: A099007 A099008 A099009 * A099011 A099012 A099013


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



