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A114728 a(n) is the cycle length corresponding to A114727(n).

%I A114728 #2 Mar 30 2012 17:27:48
%S A114728 2,3,3,18,21,21,3,3,138,156,156,52,3,3,84,84,84,28,84,84,84,84,28,12,
%T A114728 84,28,84,28,28,84,12,3,4,3,1376,1376,406,406,406,406,406,406,406,406,
%U A114728 406,406,406,406,406,406,406,406,406,7,406,58,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7
%N A114728 a(n) is the cycle length corresponding to A114727(n).
%C A114728 Besides 1 for fixed points the following lengths of cycles with elements <= 250000 occur: 2, 3, 4, 6, 7, 12, 18, 21, 28, 52, 54, 58, 84, 138, 156, 162, 406, 618, 1376, 1854, 2544, 3953, 5562, 16686.
%e A114728 A114727(33) = 792 belongs to the 4-cycle (792,1198,1401,995), so a(33) = 4.
%Y A114728 Cf. A114650, A114727.
%K A114728 nonn
%O A114728 1,1
%A A114728 _Klaus Brockhaus_, Dec 29 2005