A165099 Consider the base-8 Kaprekar map n->K(n) defined in A165090. Sequence gives least elements of each cycle, including fixed points.

0, 21, 252, 1022, 1589, 17892, 21483, 102837, 147420, 213402, 1445787, 1707930, 1711962, 6589877, 13667738, 16092433, 76545756, 93093147, 110132442, 111443346, 421817781, 874802586, 878996762, 1029991697, 1068263553

Offset

1,2

Comments

Initial terms in base 8: 0, 25, 374, 1776, 3065, 42744, 51753, 310665, 437734, 640632.

Links

Joseph Myers, Table of n, a(n) for n=1..8775

Anthony Kay and Katrina Downes-Ward, Fixed Points and Cycles of the Kaprekar Transformation: 2. Even bases, arXiv:2408.12257 [math.CO], 2024. See p. 33.

Index entries for the Kaprekar map

Crossrefs

Union of A165094 and A165101. Cf. A165090, A165100, A165095, A165097, A165108, A165103.

In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165119 (base 9), A164718 (base 10).

Sequence in context: A302992 A344919 A165095 * A165108 A282923 A023019

Adjacent sequences: A165096 A165097 A165098 * A165100 A165101 A165102

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved