A165007 Number of n-digit numbers in a cycle (including fixed points) under the base-3 Kaprekar map A164993.

1, 0, 0, 2, 1, 3, 3, 1, 6, 5, 10, 3, 15, 4, 21, 7, 28, 12, 36, 11, 45, 13, 55, 18, 66, 19, 78, 25, 91, 28, 105, 35, 120, 41, 136, 43, 153, 47, 171, 56, 190, 58, 210, 68, 231, 73, 253, 84, 276, 85, 300, 97, 325, 103, 351, 116, 378, 119, 406, 133, 435, 140, 465, 155, 496, 162

Offset: 1

Author

Joseph Myers, Sep 04 2009

Keywords

• base
• nonn

Links

• Joseph Myers, Table of n, a(n) for n=1..200
• Index entries for the Kaprekar map

Crossrefs

Cf. A164993, A164998, A165006, A008615.

In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A165026 (base 4), A165046 (base 5), A165065 (base 6), A165085 (base 7), A165104 (base 8), A165124 (base 9), A164732 (base 10).