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Maximum cycle length (orbit size) in the rotation permutation of 2n non-crossing handshakes.
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%I #14 Jun 13 2022 16:46:52

%S 1,1,2,3,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,

%T 48,50,52,54,56,58,60,62,64,66,68,70,72,74,76,78,80,82,84,86,88,90,92,

%U 94,96,98,100,102,104,106,108,110,112,114,116,118,120,122,124

%N Maximum cycle length (orbit size) in the rotation permutation of 2n non-crossing handshakes.

%C That is, in permutations A057501 and A057502, the longest cycle among all cycles between the (A014138(n-2)+1)th and (A014138(n-1))th terms.

%F a(0)=1, a(1)=1, a(2)=2, a(3)=3, and a(n)=2*n for n>=4.

%Y Cf. A057542, A057544, A057545.

%K nonn

%O 0,3

%A _Antti Karttunen_, Sep 07 2000

%E More terms from _Sean A. Irvine_, Jun 13 2022