id:A069888 - OEIS Search Results

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

+0
7

0, 1, 3, 2, 7, 5, 8, 4, 6, 17, 12, 20, 10, 15, 18, 13, 21, 9, 14, 22, 11, 16, 19, 45, 31, 54, 26, 40, 48, 34, 57, 24, 38, 61, 29, 43, 52, 46, 32, 55, 27, 41, 49, 35, 58, 23, 37, 62, 28, 42, 51, 50, 36, 59, 25, 39, 63, 30, 44, 53, 64, 33, 47, 56, 60, 129, 87, 157, 73, 115, 138 (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 "1 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 A057164 and A057501, i.e. A069888(n) = A057501(A057164(n)). Cf. also A069889.` `Sequence in context: A126314 A086702 A156140 this_sequence A073281 A130922 A006921` `Adjacent sequences: A069885 A069886 A069887 this_sequence A069889 A069890 A069891`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Apr 16 2002, suggested by Wouter Meeussen Dec 15 2001.`

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Last modified November 24 14:25 EST 2009. Contains 167438 sequences.

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