A165100 Length of cycle mentioned in A165099.

1, 1, 1, 5, 3, 2, 4, 3, 1, 1, 7, 4, 1, 3, 3, 1, 1, 5, 5, 4, 3, 3, 3, 3, 1, 6, 4, 2, 3, 1, 3, 3, 3, 4, 1, 2, 1, 3, 3, 3, 1, 5, 9, 3, 3, 3, 3, 3, 3, 1, 1, 3, 3, 3, 1, 3, 3, 3, 1, 1, 12, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 3, 3, 3, 1, 2, 5, 1, 3, 1, 3, 1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 6, 2, 3, 3, 3

Offset: 1

Author

Joseph Myers, Sep 04 2009

Keywords

• base
• nonn

Links

• Joseph Myers, Table of n, a(n) for n=1..8775
• Anthony Kay and Katrina Downes-Ward, Fixed Points and Cycles of the Kaprekar Transformation: 2. Even bases, arXiv:2408.12257 [math.CO], 2024. See p. 33.
• Index entries for the Kaprekar map

Crossrefs

Cf. A165090, A165099, A165096, A165098, A165102, A165109.

In other bases: A000012 (base 2), A165003 (base 3), A165022 (base 4), A165042 (base 5), A165061 (base 6), A165081 (base 7), A165120 (base 9), A164719 (base 10).