id:A127288 - OEIS Search Results

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Signature-permutation of a Catalan automorphism: composition of A057508 and A127286.

+0
7

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 28, 30, 33, 24, 29, 26, 31, 32, 27, 34, 35, 36, 37, 39, 38, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 70, 67, 72, 75, 79, 81 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`This automorphism permutes the top-level of a list of even length (1 ... 2n) as (1 3 5 2n-1 ... 2n 2n-2 ... 4 2) and when applied to a list of odd length (1 .. 2n+1), permutes it as (1 3 5 2n-1 2n+1 2n 2n-2 ... 4 2).`
	LINKS	`Index entries for signature-permutations of Catalan automorphisms`
	PROGRAM	`(Scheme implementation of this automorphism, destructive, that acts on S-expressions, i.e. list-structures:)` `(define (A127288! s) (A057508! (*A127286! s)))`
	CROSSREFS	`Inverse: A127287. a(n) = A057508(A127286(n)).` `Sequence in context: A062399 A121603 A031086 this_sequence A127287 A162344 A113220` `Adjacent sequences: A127285 A127286 A127287 this_sequence A127289 A127290 A127291`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 16 2007`

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Last modified November 25 14:49 EST 2009. Contains 167514 sequences.

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