0,3

Note: This is isomorphic with Meeussen's "skewcatacycleft" operation acting on the interpretation (gg) of the exercise 19 by Stanley.

Table of n, a(n) for n=0..69.

Index entries for signature-permutations induced by Catalan automorphisms

R. P. Stanley, Exercises on Catalan and Related Numbers

a(n) = A057501(A057164(A057502(n)))

a(n) = A069888(A057502(n)). Occurs in A073200 as row 604463486276865131809167. Cf. also A082314, A082315, A082333, A082334.

Number of cycles: A007123. Number of fixed-points: A001405. Max. cycle size: A046698. LCM of cycle sizes: A046698. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Sequence in context: A123492 A123493 A123715 * A123494 A123716 A229927

Adjacent sequences: A082310 A082311 A082312 * A082314 A082315 A082316

nonn

Antti Karttunen, Apr 17 2003. Proposed by Wouter Meeussen in Dec 15 2001.

approved