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Length of cycle mentioned in A165021.
12

%I #12 Aug 28 2024 12:40:40

%S 1,1,2,1,2,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,

%T 1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,

%U 3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1

%N Length of cycle mentioned in A165021.

%H Joseph Myers, <a href="/A165022/b165022.txt">Table of n, a(n) for n=1..7165</a>

%H Anthony Kay and Katrina Downes-Ward, <a href="https://arxiv.org/abs/2408.12257">Fixed Points and Cycles of the Kaprekar Transformation: 2. Even bases</a>, arXiv:2408.12257 [math.CO], 2024. See p. 16.

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

%Y Cf. A165012, A165021, A165018, A165020, A165024, A165031.

%Y In other bases: A000012 (base 2), A165003 (base 3), A165042 (base 5), A165061 (base 6), A165081 (base 7), A165100 (base 8), A165120 (base 9), A164719 (base 10).

%K base,nonn

%O 1,3

%A _Joseph Myers_, Sep 04 2009