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A057543 Maximum cycle length (orbit size) in the rotation permutation of 2n non-crossing handshakes. 8
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 (list; graph; refs; listen; history; text; internal format)
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

Adjacent sequences:  A057540 A057541 A057542 * A057544 A057545 A057546

KEYWORD

nonn

AUTHOR

Antti Karttunen, Sep 07 2000

EXTENSIONS

More terms from Sean A. Irvine, Jun 13 2022

STATUS

approved

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Last modified July 6 17:30 EDT 2022. Contains 355112 sequences. (Running on oeis4.)