id:A082342 - OEIS Search Results

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Permutation of natural numbers induced by the gatomorphism gma082342 acting on the parenthesizations encoded by A014486/A063171.

+0
4

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; listen)

	OFFSET	`0,3`
	COMMENT	`This is A057163-conjugate of A073284.`
	LINKS	`A. Karttunen, Gatomorphisms (with the complete Scheme source)` `Index entries for signature-permutations induced by Catalan automorphisms`
	PROGRAM	`(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 this_sequence A130935 A082325 A069787` `Adjacent sequences: A082339 A082340 A082341 this_sequence A082343 A082344 A082345`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (Firstname.Surname(AT)iki.fi), Apr 17 2003`

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Last modified March 19 13:18 EDT 2010. Contains 173632 sequences.

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