id:A127289 - OEIS Search Results

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Signature-permutation of a Catalan automorphism: composition of A127291 and A057164.

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8

0, 1, 3, 2, 6, 8, 7, 5, 4, 15, 20, 14, 19, 21, 18, 22, 16, 11, 13, 17, 12, 10, 9, 39, 53, 41, 55, 59, 40, 54, 38, 52, 57, 37, 51, 56, 58, 47, 60, 49, 62, 64, 48, 61, 43, 29, 34, 42, 28, 33, 35, 50, 63, 46, 32, 36, 44, 30, 25, 27, 45, 31, 26, 24, 23, 113, 155, 118, 160, 173 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`This is otherwise like A127291, but uses A127285 instead of A127287 as a "picker permutation" for the function "tau", which can be found in the entry A127291. A014486->parenthesization is given in A014486. This permutation contains some exceptionally large cycles, see A127297.`
	LINKS	`A. Karttunen, Table of n, a(n) for n = 0..2055` `Index entries for signature-permutations of Catalan automorphisms`
	PROGRAM	`(Scheme:) (define (A127289 n) (tau (A014486->parenthesization (A014486 n)) *A127285!))`
	CROSSREFS	`Inverse: A127290. a(n) = A127291(A057164(n)) = A057164(A127299(n)). The number of cycles, maximum cycle sizes and LCM's of all cycle sizes in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A127296, A127297 and A127298.` `Sequence in context: A122334 A074681 A130355 this_sequence A131168 A131161 A131006` `Adjacent sequences: A127286 A127287 A127288 this_sequence A127290 A127291 A127292`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 16 2007`

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Last modified November 29 12:46 EST 2009. Contains 167659 sequences.

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