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A057544 Maximum cycle length (orbit size) in the rotation permutation of n+2 side polygon triangularizations. 8
1, 1, 2, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

I.e., in permutations A057161 and A057162 (also A057503 and A057504), 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..66.

Index entries for linear recurrences with constant coefficients, signature (2,-1).

FORMULA

a(0)=1, a(1)=1, a(2)=2, a(n)=n+2.

From Chai Wah Wu, Jul 28 2022: (Start)

a(n) = 2*a(n-1) - a(n-2) for n > 4.

G.f.: (-2*x^4 + 2*x^3 + x^2 - x + 1)/(x - 1)^2. (End)

CROSSREFS

Cf. A057542, A057543, A057545.

Sequence in context: A198547 A120678 A078384 * A039239 A039182 A039135

Adjacent sequences:  A057541 A057542 A057543 * A057545 A057546 A057547

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 October 2 14:01 EDT 2022. Contains 357226 sequences. (Running on oeis4.)