A165002 Consider the base-3 Kaprekar map n->K(n) defined in A164993. Sequence gives least elements of each cycle, including fixed points.

0, 32, 184, 320, 1696, 2008, 5332, 15304, 18208, 19144, 26240, 55360, 137776, 146488, 164008, 172720, 175528, 433012, 520372, 1240024, 1476208, 1502344, 1554904, 1581040, 1589464, 3975844, 4487680, 4749760, 11160256, 13286008

Offset

1,2

Comments

Initial terms in base 3: 0, 1012, 20211, 102212, 2022211, 2202101, 21022111, 202222211, 220222101, 222021001.

Links

Joseph Myers, Table of n, a(n) for n=1..23340

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 A164997 and A165004. Cf. A164993, A165003, A164998, A165000, A165010, A165006.

In other bases: A163205 (base 2), A165021 (base 4), A165041 (base 5), A165060 (base 6), A165080 (base 7), A165099 (base 8), A165119 (base 9), A164718 (base 10).

Sequence in context: A305243 A304477 A316302 * A165010 A304846 A316543

Adjacent sequences: A164999 A165000 A165001 * A165003 A165004 A165005

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved