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

1,2

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).

Sequence in context: A044018 A124783 A126382 * A179790 A306427 A254145

Adjacent sequences: A165006 A165007 A165008 * A165010 A165011 A165012

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved