A057543 Maximum cycle length (orbit size) in the rotation permutation of 2n non-crossing handshakes.

1, 1, 2, 3, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, 58, 60, 62, 64, 66, 68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112, 114, 116, 118, 120, 122, 124

Offset: 0

Author

Antti Karttunen, Sep 07 2000

Keywords

• nonn

Comments

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.

Crossrefs

Cf. A057542, A057544, A057545.

Formula

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

Extensions

More terms from Sean A. Irvine, Jun 13 2022