login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A165045 Number of cycles of n-digit numbers (including fixed points) under the base-5 Kaprekar map A165032. 10

%I #13 Jun 02 2017 00:32:55

%S 1,1,1,1,1,1,1,1,1,1,2,1,3,2,6,3,9,2,14,2,16,4,23,4,26,4,30,5,36,7,40,

%T 11,54,11,68,14,77,16,83,18,95,19,107,25,126,27,144,29,150,30,160,33,

%U 188,35,196,41,209,42,238,46,247,50,257,63,313,64,367,78,378,82,397,91

%N Number of cycles of n-digit numbers (including fixed points) under the base-5 Kaprekar map A165032.

%H Joseph Myers, <a href="/A165045/b165045.txt">Table of n, a(n) for n=1..100</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. A165032, A165037, A165046, A008617.

%Y In other bases: A004526 (base 2, adjusted to start 1, 0, 0, 1, 1, ...), A165006 (base 3), A165025 (base 4), A165064 (base 6), A165084 (base 7), A165103 (base 8), A165123 (base 9), A164731 (base 10).

%K base,nonn

%O 1,11

%A _Joseph Myers_, Sep 04 2009

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified April 24 03:08 EDT 2024. Contains 371918 sequences. (Running on oeis4.)