id:A130919 - OEIS Search Results

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Signature permutation of a Catalan automorphism: DEEPEN-transform of automorphism *A057511.

+0
4

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

	OFFSET	`0,3`
	COMMENT	`A130919 = DEEPEN(A057511) = NEPEED(A057511) = DEEPEN(DEEPEN(A057509)) = NEPEED(NEPEED(*A057509)). See A122283, A122284 for the definitions of DEEPEN and NEPEED transforms.`
	LINKS	`A. Karttunen, Table of n, a(n) for n = 0..2055` `Index entries for signature-permutations of Catalan automorphisms`
	CROSSREFS	`Inverse: A130920. A122351(n) = A083927(A130919(A057123(n))). The number of cycles and the number of fixed points in range [A014137(n-1)..A014138(n-1)] of this permutation are given by A130967 and A130968. Maximum cycle sizes seems to be given by A000793 (shifted once right).` `Sequence in context: A121731 A129605 A057509 this_sequence A127286 A130946 A073284` `Adjacent sequences: A130916 A130917 A130918 this_sequence A130920 A130921 A130922`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jun 11 2007`

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

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