A165080 Consider the base-7 Kaprekar map n->K(n) defined in A165071. Sequence gives least elements of each cycle, including fixed points.

0, 144, 1068, 9936, 55500, 640992, 3562968, 31412208, 220709400, 227429400, 228238488, 1922263344, 11150046252, 11432420652, 75796404672, 94197649008, 96503566608, 419850417612, 546394287000, 3939440152944, 4615731883344

Offset

1,2

Comments

Initial terms in base 7: 0, 264, 3054, 40653, 320544, 5306532, 42166443, 530666532, 5316666432, 5431055322.

Links

Joseph Myers, Table of n, a(n) for n=1..13070

Anthony Kay and Katrina Downes-Ward, Fixed Points and Cycles of the Kaprekar Transformation: 1. Odd Bases, Journal of Integer Sequences, Vol. 25 (2022), Article 22.6.7.

Index entries for the Kaprekar map

Crossrefs

Union of A165075 and A165082. Cf. A165071, A165081, A165076, A165078, A165088, A165084.

In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165099 (base 8), A165119 (base 9), A164718 (base 10).

Sequence in context: A162669 A230796 A230789 * A165082 A165088 A269049

Adjacent sequences: A165077 A165078 A165079 * A165081 A165082 A165083

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved