A164885 Length of preperiodic part of trajectory of n under iteration of the base-2 Kaprekar map in A164884.

0, 1, 2, 1, 2, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 1, 1, 2, 1, 1, 1, 2, 1, 2, 2, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1

Offset: 0

Author

Joseph Myers, Aug 29 2009

Keywords

• base
• nonn

Comments

All base-2 cycles are fixed points, so one less than A164886.

Links

• Joseph Myers, Table of n, a(n) for n = 0..1024
• Index entries for the Kaprekar map

Crossrefs

Cf. A164884, A163205, A164886, A164887.

In other bases: A164995 (base 3), A165014 (base 4), A165034 (base 5), A165053 (base 6), A165073 (base 7), A165092 (base 8), A165112 (base 9), A151962 (base 10).

Extensions

Cross-references edited by Joseph Myers, Sep 04 2009