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Number of cycles of n-digit numbers (including fixed points) under the Kaprekar map A151949.
13

%I #14 Jun 02 2017 00:44:08

%S 1,0,1,1,3,3,1,4,3,8,3,16,5,27,8,46,9,73,11,110,16,162,25,231,37,318,

%T 58,429,88,572,132,747,192,963,269,1229,372,1551,500,1939,662,2401,

%U 864,2948,1115,3586,1421,4330,1792,5194,2240,6191,2764,7338,3382,8650,4105

%N Number of cycles of n-digit numbers (including fixed points) under the Kaprekar map A151949.

%H Joseph Myers, <a href="/A164731/b164731.txt">Table of n, a(n) for n=1..70</a>

%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. A151949, A164716, A164732, A164733, A164734, A164735, A164736.

%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), A165123 (base 9). [_Joseph Myers_, Sep 05 2009]

%K base,nonn

%O 1,5

%A _Joseph Myers_, Aug 23 2009