A165041 Consider the base-5 Kaprekar map n->K(n) defined in A165032. Sequence gives least elements of each cycle, including fixed points.

0, 8, 48, 392, 1992, 7488, 53712, 249992, 1831056, 6249992, 45781056, 48217776, 170312312, 1144531056, 1205467776, 1217651376, 4514058432, 4576557032, 22460937432, 28613281056, 28671874056, 30136717776, 30441401376

Offset

1,2

Comments

Initial terms in base 5: 0, 13, 143, 3032, 30432, 214423, 3204322, 30444432, 432043211, 3044444432.

Links

Joseph Myers, Table of n, a(n) for n=1..15716

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 A165036 and A165043. Cf. A165032, A165042, A165037, A165039, A165049, A165045.

In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165060 (base 6), A165080 (base 7), A165099 (base 8), A165119 (base 9), A164718 (base 10).

Sequence in context: A144014 A131681 A077708 * A165049 A013186 A165506

Adjacent sequences: A165038 A165039 A165040 * A165042 A165043 A165044

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved