A165113 (Length of preperiodic part) + (length of cycle) of trajectory of n under iteration of the base-9 Kaprekar map in A165110.

1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 2, 3, 3, 5, 4, 3, 2, 5, 3, 3, 2, 3, 3, 5, 4, 3, 3, 5, 3, 3, 2, 3, 3, 5, 4, 3, 4, 5, 3, 3, 2, 3, 3, 5, 4, 3, 4, 5, 2, 3, 2, 3, 3, 5, 3, 3, 4, 5, 3, 3, 2, 3, 3, 5, 3, 3, 4, 5, 3, 3, 2, 3, 4, 5, 3, 3, 4, 5, 3, 3, 2, 3, 3, 6, 5, 3, 3, 4, 5, 6, 3, 2, 3, 6, 5, 3, 3, 4, 5, 6, 3, 3, 6, 5, 3

Offset: 0

Author

Joseph Myers, Sep 04 2009

Keywords

• base
• nonn

Links

• Joseph Myers, Table of n, a(n) for n=0..6561
• Index entries for the Kaprekar map

Crossrefs

Cf. A165110, A165112.

In other bases: A164886 (base 2), A164996 (base 3), A165015 (base 4), A165035 (base 5), A165054 (base 6), A165074 (base 7), A165093 (base 8), A151963 (base 10).