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A082342 Permutation of natural numbers induced by the Catalan bijection gma082342 acting on the parenthesizations encoded by A014486/A063171. 3
0, 1, 2, 3, 4, 5, 7, 6, 8, 9, 10, 12, 11, 13, 17, 18, 16, 14, 15, 21, 19, 20, 22, 23, 24, 26, 25, 27, 31, 32, 30, 28, 29, 35, 33, 34, 36, 45, 46, 48, 49, 50, 44, 47, 42, 37, 38, 43, 39, 40, 41, 58, 59, 56, 51, 52, 57, 53, 54, 55, 63, 60, 61, 62, 64, 65, 66, 68, 67, 69 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

This is A057163-conjugate of A073284.

LINKS

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

A. Karttunen, Gatomorphisms (with the complete Scheme source)

Index entries for signature-permutations induced by Catalan automorphisms

PROG

(Scheme functions implementing this automorphism on list-structures:)

(define (gma082342! s) (cond ((pair? s) (gma082342! (cdr s)) (gma072797! s) (gma082342! (car s)))) s)

CROSSREFS

Inverse of A082341. a(n) = A057163(A073284(A057163(n))). Occurs in A073200. Cf. also A072797, A082337-A082339.

Differs from A082325 first time at n=39: a(39)=48, while A082325(39)=49.

Number of cycles: A057513. Number of fixed-points: A057546. Max. cycle size: A000793. LCM of cycle sizes: A003418. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).

Sequence in context: A082341 A130936 A082326 * A130935 A082325 A069787

Adjacent sequences:  A082339 A082340 A082341 * A082343 A082344 A082345

KEYWORD

nonn

AUTHOR

Antti Karttunen, Apr 17 2003

STATUS

approved

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Last modified January 17 19:58 EST 2019. Contains 319251 sequences. (Running on oeis4.)