A164731 Number of cycles of n-digit numbers (including fixed points) under the Kaprekar map A151949.

1, 0, 1, 1, 3, 3, 1, 4, 3, 8, 3, 16, 5, 27, 8, 46, 9, 73, 11, 110, 16, 162, 25, 231, 37, 318, 58, 429, 88, 572, 132, 747, 192, 963, 269, 1229, 372, 1551, 500, 1939, 662, 2401, 864, 2948, 1115, 3586, 1421, 4330, 1792, 5194, 2240, 6191, 2764, 7338, 3382, 8650, 4105

Offset

1,5

Links

Joseph Myers, Table of n, a(n) for n=1..70

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. A151949, A164716, A164732, A164733, A164734, A164735, A164736.

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), A165084 (base 7), A165103 (base 8), A165123 (base 9). [Joseph Myers, Sep 05 2009]

Sequence in context: A016604 A255058 A258201 * A226576 A297902 A298496

Adjacent sequences: A164728 A164729 A164730 * A164732 A164733 A164734

Keyword

base,nonn

Author

Joseph Myers, Aug 23 2009

Status

approved