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A165103 Number of cycles of n-digit numbers (including fixed points) under the base-8 Kaprekar map A165090. 11
1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 3, 13, 2, 16, 3, 21, 5, 34, 5, 45, 12, 62, 13, 82, 22, 104, 35, 137, 45, 170, 61, 215, 82, 264, 111, 323, 139, 389, 179, 466, 223, 564, 275, 657, 338, 774, 410, 905, 498, 1048, 587, 1212, 696, 1392, 818, 1598, 958, 1811, 1110, 2058, 1281 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,4

LINKS

Joseph Myers, Table of n, a(n) for n=1..70

H. Hanslik, E. Hetmaniok, I. Sobstyl, et al., Orbits of the Kaprekar's transformations-some introductory facts, Zeszyty Naukowe Politechniki Śląskiej, Seria: Matematyka Stosowana z. 5, Nr kol. 1945; 2015.

Index entries for the Kaprekar map

CROSSREFS

Cf. A165090, A165095, A165104, A165105.

In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A165006 (base 3), A165025 (base 4), A165045 (base 5), A165064 (base 6), A165084 (base 7), A165123 (base 9), A164731 (base 10).

Sequence in context: A194315 A288577 A159270 * A281579 A194311 A134403

Adjacent sequences:  A165100 A165101 A165102 * A165104 A165105 A165106

KEYWORD

base,nonn

AUTHOR

Joseph Myers, Sep 04 2009

STATUS

approved

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Last modified June 4 08:18 EDT 2020. Contains 334825 sequences. (Running on oeis4.)