A165009 a(n) = smallest number that leads to a new cycle under the base-3 Kaprekar map of A164993.

0, 28, 82, 244, 730, 737, 2188, 6562, 6569, 6587, 19684, 19691, 59050, 59057, 59062, 59075, 59129, 177148, 177173, 531442, 531449, 531467, 531485, 531521, 531683, 1594324, 1594331, 1594403, 4782970, 4782977, 4782995, 4783049, 4783103

Offset: 1

Author

Joseph Myers, Sep 04 2009

Keywords

• base
• nonn

Comments

Initial terms in base 3: 0, 1001, 10001, 100001, 1000001, 1000022, 10000001, 100000001, 100000022, 100000222.

Links

• Joseph Myers, Table of n, a(n) for n=1..23340
• Index entries for the Kaprekar map

Crossrefs

Cf. A164993, A164998, A165010, A165011.

In other bases: A164887 (base 2), A165029 (base 4), A165048 (base 5), A165068 (base 6), A165087 (base 7), A165107 (base 8), A165127 (base 9), A151964 (base 10).