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A165028 Consider the base-4 Kaprekar map x->K(x) described in A165012. Sequence gives the smallest number that belongs to a cycle of length n under repeated iteration of this map, or -1 if there is no cycle of length n 7

%I #4 Mar 30 2012 17:28:43

%S 0,126,41958

%N Consider the base-4 Kaprekar map x->K(x) described in A165012. Sequence gives the smallest number that belongs to a cycle of length n under repeated iteration of this map, or -1 if there is no cycle of length n

%C Known values (to 200 base-4 digits):

%C a(1) = 0 (base 10) = 0 (base 4)

%C a(2) = 126 (base 10) = 1332 (base 4)

%C a(3) = 41958 (base 10) = 22033212 (base 4)

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

%Y Cf. A165012, A165016, A165017, A165019, A165021, A165023.

%Y In other bases: A153881 (base 2), A165008 (base 3), A165047 (base 5), A165067 (base 6), A165086 (base 7), A165106 (base 8), A165126 (base 9), A151959 (base 10).

%K base,nonn,bref

%O 1,2

%A _Joseph Myers_, Sep 04 2009

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Last modified March 29 08:45 EDT 2024. Contains 371267 sequences. (Running on oeis4.)