id:A125987 - OEIS Search Results

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Signature-permutation of the square of Vaille's 1997 bijection on Dyck paths.

+0
8

0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 14, 16, 11, 15, 17, 20, 10, 12, 19, 21, 18, 13, 22, 23, 37, 42, 28, 39, 44, 43, 25, 30, 38, 40, 53, 29, 52, 45, 54, 57, 48, 55, 24, 51, 31, 26, 34, 47, 33, 56, 41, 58, 62, 46, 49, 61, 27, 35, 32, 60, 63, 59, 50, 36, 64, 65, 107, 121, 79, 112 (list; graph; listen)

	OFFSET	`0,3`
	REFERENCES	`J. Vaill\'{e}, Une Bijection Explicative de Plusieurs Proprietes Remarquables des Ponts, European J. Combin. 18 (1997), no. 1, 117-124.`
	LINKS	`Index entries for signature-permutations of Catalan automorphisms`
	CROSSREFS	`Inverse: A125988. a(n) = A125985(A125985(n)). The number of cycles, fixed points, maximum cycle sizes and LCM's of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A126294, A126295, A126296 and A126297. The fixed points are given by A126298/A126299.` `Sequence in context: A084469 A085166 A073206 this_sequence A073198 A071661 A125977` `Adjacent sequences: A125984 A125985 A125986 this_sequence A125988 A125989 A125990`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 02 2007`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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