A165084 Number of cycles of n-digit numbers (including fixed points) under the base-7 Kaprekar map A165071.

1, 0, 1, 1, 1, 1, 1, 1, 1, 3, 1, 2, 3, 2, 4, 2, 5, 1, 8, 6, 10, 5, 13, 7, 18, 7, 20, 8, 25, 12, 30, 13, 35, 15, 43, 16, 51, 20, 56, 25, 63, 29, 71, 33, 79, 38, 89, 42, 99, 48, 112, 53, 123, 57, 137, 63, 150, 71, 164, 79, 177, 87, 190, 95, 210, 101, 229, 109, 246, 119, 263, 132, 280

Offset

1,10

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. A165071, A165076, A165085, A008722.

In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A165006 (base 3), A165025 (base 4), A165045 (base 5), A165064 (base 6), A165103 (base 8), A165123 (base 9), A164731 (base 10).

Sequence in context: A210243 A232269 A305391 * A029279 A260869 A274514

Adjacent sequences: A165081 A165082 A165083 * A165085 A165086 A165087

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved