A165119 Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives least elements of each cycle, including fixed points.

0, 16, 320, 2256, 3712, 34960, 41520, 183696, 3496800, 31531872, 31596672, 278474880, 326952560, 2066242576, 2516902752, 2598744000, 23087388720, 26531651360, 167365651216, 203869268832, 211282856832, 1901588877840

Offset

1,2

Comments

Initial terms in base 9: 0, 17, 385, 3076, 5074, 52854, 62853, 308876, 6518633, 65288533.

Links

Joseph Myers, Table of n, a(n) for n=1..1560

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 A165114 and A165121. Cf. A165110, A165120, A165115, A165117, A165128, A165123.

In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165099 (base 8), A164718 (base 10).

Sequence in context: A231742 A027547 A024300 * A165128 A165121 A224768

Adjacent sequences: A165116 A165117 A165118 * A165120 A165121 A165122

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved