A165006 Number of cycles of n-digit numbers (including fixed points) under the base-3 Kaprekar map A164993.

1, 0, 0, 1, 1, 1, 2, 1, 3, 2, 5, 2, 6, 3, 7, 4, 10, 5, 12, 6, 13, 7, 16, 8, 17, 9, 19, 10, 22, 11, 23, 14, 26, 15, 30, 16, 33, 18, 34, 19, 37, 20, 39, 23, 42, 24, 47, 25, 48, 26, 50, 28, 55, 29, 56, 32, 59, 33, 63, 34, 64, 37, 65, 40, 72, 41, 78, 44, 79, 46, 82, 49, 83, 51, 87, 52

Offset

1,7

Links

Joseph Myers, Table of n, a(n) for n=1..200

H. Hanslik, E. Hetmaniok, I. Sobstyl, et al., Orbits of the Kaprekar's transformations-some introductory facts, Zeszyty Naukowe Politechniki Śląskiej, Seria: Matematyka Stosowana z. 5, Nr kol. 1945; 2015.

Index entries for the Kaprekar map

Crossrefs

Cf. A164993, A164998, A165007, A008615.

In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A165025 (base 4), A165045 (base 5), A165064 (base 6), A165084 (base 7), A165103 (base 8), A165123 (base 9), A164731 (base 10).

Sequence in context: A365859 A105602 A111079 * A134735 A240867 A242363

Adjacent sequences: A165003 A165004 A165005 * A165007 A165008 A165009

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved