id:A130342 - OEIS Search Results

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Row 3 of A122204.

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5

0, 1, 2, 3, 5, 4, 6, 7, 8, 13, 12, 11, 9, 10, 15, 14, 16, 17, 18, 19, 20, 21, 22, 36, 35, 34, 31, 32, 33, 30, 28, 23, 24, 29, 25, 26, 27, 41, 40, 39, 37, 38, 43, 42, 44, 45, 46, 47, 48, 49, 50, 52, 51, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 106, 105, 104, 100, 101 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`The signature-permutation of the Catalan automorphism which is derived from the third non-recursive Catalan automorphism A089850 with recursion schema ENIPS (see A122204 for the definition). This automorphism is also produced when automorphism A069768 is applied to the right-hand side subtree of the given binary tree, with the left side left intact.`
	LINKS	`A. Karttunen, Table of n, a(n) for n = 0..2055` `Index entries for signature-permutations of Catalan automorphisms`
	CROSSREFS	`Inverse: A130341. a(n) = A069770(A069768(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 A089404 and A073268. Cf. also A073287.` `Adjacent sequences: A130339 A130340 A130341 this_sequence A130343 A130344 A130345` `Sequence in context: A130944 A122341 A130376 this_sequence A130943 A122342 A131142`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jun 05 2007`

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Last modified January 8 02:43 EST 2009. Contains 152824 sequences.

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