id:A127292 - OEIS Search Results

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Signature-permutation of the inverse of Elizalde's and Deutsch's 2003 bijection for Dyck paths.

+0
7

0, 1, 3, 2, 8, 7, 4, 5, 6, 22, 21, 17, 18, 20, 11, 9, 12, 13, 10, 16, 14, 19, 15, 64, 63, 58, 59, 62, 48, 45, 49, 50, 46, 57, 54, 61, 55, 33, 30, 23, 25, 28, 34, 31, 35, 36, 32, 24, 26, 29, 27, 47, 44, 37, 39, 42, 56, 53, 60, 51, 38, 40, 43, 41, 52, 196, 195, 189, 190, 194 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`Note that this automorphism cannot be produced just by giving A127288 (the inverse of A127287) to function "tau" given in A127291. Instead, we have to use another algorithm given in A127300 and then conjugate it by A057164.`
	REFERENCES	`Emeric Deutsch and Sergi Elizalde, A simple and unusual bijection for Dyck paths and its consequences, Annals of Combinatorics, 7 (2003), no. 3, 281-297.`
	LINKS	`A. Karttunen, Table of n, a(n) for n = 0..2055` `Index entries for signature-permutations of Catalan automorphisms`
	CROSSREFS	`Inverse: A127291. a(n) = A057164(A127290(n)) = A057164(A127300(A057164(n))).` `Sequence in context: A122296 A122359 A131007 this_sequence A131165 A131158 A082350` `Adjacent sequences: A127289 A127290 A127291 this_sequence A127293 A127294 A127295`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 16 2007`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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