id:A089870 - OEIS Search Results

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Permutation of natural numbers induced by the gatomorphism gma089870 acting on the parenthesizations/binary trees encoded by A014486/A063171.

+0
4

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 36, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 50, 49, 51, 52, 53, 54, 55, 60, 61, 63, 62, 56, 57, 64, 59, 58, 65, 66, 67, 68, 69 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`This gatomorphism arises when we apply the gatomorphism A085170 to each top-level subtree (sub-parenthesization).`
	LINKS	`A. Karttunen, C-program for computing this sequence` `Index entries for signature-permutations induced by Catalan automorphisms`
	PROGRAM	`(Scheme function implementing this automorphism on list-structures:)` `(define (gma089870! s) (for-each gma085170! s) s)`
	CROSSREFS	`Inverse of A089869.` `Number of cycles: A090827. Number of fixed-points: A000129. Max. cycle size: A086586. LCM of cycle sizes: A086587. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).` `Adjacent sequences: A089867 A089868 A089869 this_sequence A089871 A089872 A089873` `Sequence in context: A132263 A089868 A089867 this_sequence A089869 A135579 A138234`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (Firstname.Surname(AT)iki.fi), Dec 20 2003`

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.

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