A165045 Number of cycles of n-digit numbers (including fixed points) under the base-5 Kaprekar map A165032.

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 1, 3, 2, 6, 3, 9, 2, 14, 2, 16, 4, 23, 4, 26, 4, 30, 5, 36, 7, 40, 11, 54, 11, 68, 14, 77, 16, 83, 18, 95, 19, 107, 25, 126, 27, 144, 29, 150, 30, 160, 33, 188, 35, 196, 41, 209, 42, 238, 46, 247, 50, 257, 63, 313, 64, 367, 78, 378, 82, 397, 91

Offset

1,11

Links

Joseph Myers, Table of n, a(n) for n=1..100

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. A165032, A165037, A165046, A008617.

In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A165006 (base 3), A165025 (base 4), A165064 (base 6), A165084 (base 7), A165103 (base 8), A165123 (base 9), A164731 (base 10).

Sequence in context: A069481 A098911 A052305 * A337452 A164768 A006208

Adjacent sequences: A165042 A165043 A165044 * A165046 A165047 A165048

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved