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A165123 Number of cycles of n-digit numbers (including fixed points) under the base-9 Kaprekar map A165110. 10

%I #13 Jun 02 2017 00:33:22

%S 1,1,1,2,2,1,1,2,2,3,2,3,3,3,4,2,4,4,5,4,6,5,9,4,15,4,15,5,18,5,19,7,

%T 23,5,30,6,32,8,32,8,34,11,34,11,39,12,42,14,43,15,44,17,50,19,54,22,

%U 57,22,63,21,64,23,68,29,95,26,127,34,130,34

%N Number of cycles of n-digit numbers (including fixed points) under the base-9 Kaprekar map A165110.

%H H. Hanslik, E. Hetmaniok, I. Sobstyl, et al., <a href="http://yadda.icm.edu.pl/baztech/element/bwmeta1.element.baztech-aeb2e2a6-99ca-4268-8f6b-a947b9c04da9">Orbits of the Kaprekar's transformations-some introductory facts</a>, Zeszyty Naukowe Politechniki Śląskiej, Seria: Matematyka Stosowana z. 5, Nr kol. 1945; 2015.

%H <a href="/index/K#Kaprekar_map">Index entries for the Kaprekar map</a>

%Y Cf. A165110, A165115, A165124, A165125.

%Y 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), A165103 (base 8), A164731 (base 10).

%K base,nonn

%O 1,4

%A _Joseph Myers_, Sep 04 2009

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Last modified July 16 03:21 EDT 2024. Contains 374343 sequences. (Running on oeis4.)