A165060 Consider the base-6 Kaprekar map n->K(n) defined in A165051. Sequence gives least elements of each cycle, including fixed points.

0, 105, 430, 4305, 5600, 16840, 27195, 33860, 42925, 218960, 895275, 1221860, 1275170, 1548445, 1657225, 6018495, 7892360, 44002820, 45962330, 47681900, 55760125, 56319925, 59679145, 60331825, 277695950, 284180120, 348285175

Offset

1,2

Comments

Initial terms in base 6: 0, 253, 1554, 31533, 41532, 205544, 325523, 420432, 530421, 4405412.

Links

Joseph Myers, Table of n, a(n) for n=1..23045

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. 27.

Index entries for the Kaprekar map

Crossrefs

Union of A165055 and A165062. Cf. A165051, A165061, A165056, A165058, A165069, A165064.

In other bases: A163205 (base 2), A165002 (base 3), A165021 (base 4), A165041 (base 5), A165080 (base 7), A165099 (base 8), A165119 (base 9), A164718 (base 10).

Sequence in context: A134518 A160717 A165056 * A165069 A200834 A143041

Adjacent sequences: A165057 A165058 A165059 * A165061 A165062 A165063

Keyword

base,nonn

Author

Joseph Myers, Sep 04 2009

Status

approved