A099010 Consider the Kaprekar map n->K(n) defined in A151949. Sequence gives numbers belonging to cycles of length greater than 1.

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

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