A085160 - OEIS

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A085160

Permutation of natural numbers induced by the gatomorphism gma085160 acting on symbolless S-expressions encoded by A014486/A063171.

0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 17, 10, 16, 18, 11, 20, 12, 14, 21, 13, 15, 19, 22, 23, 45, 24, 44, 46, 25, 48, 26, 42, 49, 27, 43, 47, 50, 28, 54, 29, 53, 55, 30, 57, 31, 37, 58, 32, 38, 56, 59, 33, 61, 34, 39, 62, 35, 40, 51, 63, 36, 41, 52, 60, 64, 65, 129, 66, 128, 130 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,3`
	COMMENTS	`This gatomorphism rotates the interpretations (pp)-(rr) of Stanley, using the "rising slope" mapping illustrated in A085161.`
	LINKS	`A. Karttunen, Gatomorphisms (With the complete Scheme source)` `R. P. Stanley, Exercises on Catalan and Related Numbers (including 66 combinatorial interpretations)` `Index entries for signature-permutations induced by Catalan automorphisms`
	CROSSREFS	`Inverse: A085159. a(n) = A085161(A085159(A085161(n))) = A085169(A082316(A085170(n))) = A074684(A082316(A074683(n))) = A085174(A085174(n)). Occurs in A073200. Cf. also A085165-A085168, A086430.` `Number of cycles: A054357. Number of fixed points: A046698. (In range [A014137(n-1)..A014138(n-1)] of this permutation, possibly shifted one term left or right).` `Sequence in context: A073195 A073199 A125988 * A086429 A085172 A085164` `Adjacent sequences: A085157 A085158 A085159 * A085161 A085162 A085163`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (Firstname.Surname(AT)iki.fi), Jun 23 2003`

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Last modified February 16 15:48 EST 2012. Contains 205931 sequences.