id:A069889 - OEIS Search Results

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Self-inverse permutation of natural numbers induced by the automorphism RotateHandshakes_et_DeepReverse! acting on the parenthesizations encoded by A014486.

+0
5

0, 1, 3, 2, 7, 8, 6, 4, 5, 17, 20, 18, 21, 22, 16, 19, 14, 9, 11, 15, 10, 12, 13, 45, 54, 48, 57, 61, 46, 55, 49, 58, 62, 50, 59, 63, 64, 44, 53, 47, 56, 60, 42, 51, 37, 23, 28, 39, 25, 30, 33, 43, 52, 38, 24, 29, 40, 26, 31, 34, 41, 27, 32, 35, 36, 129, 157, 138, 166, 180 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`This automorphism reflects non-crossing handshakes (the intepretation n of Stanley's exercise 19) over the diagonal that goes through corner at "11 o'clock".`
	LINKS	`A. Karttunen, Gatomorphisms (Includes the complete Scheme program for computing this sequence)` `R. P. Stanley, Exercises on Catalan and Related Numbers` `Index entries for sequences that are permutations of the natural numbers`
	CROSSREFS	`Composition of A057501 and A057164, i.e. A069888(n) = A057164(A057501(n)). Cf. also A069888.` `Sequence in context: A154456 A122328 A082346 this_sequence A154451 A131000 A122351` `Adjacent sequences: A069886 A069887 A069888 this_sequence A069890 A069891 A069892`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Apr 16 2002`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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