A057543 - OEIS

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

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OFFSET

0,3

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.

LINKS

Table of n, a(n) for n=0..62.

FORMULA

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

CROSSREFS

Cf. A057542, A057544, A057545.

Sequence in context: A028732 A028751 A325424 * A190650 A000059 A340301