id:A086429 - OEIS Search Results

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Permutation of natural numbers induced by the gatomorphism gma086429 acting on symbolless S-expressions encoded by A014486/A063171.

+0
8

0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 17, 10, 16, 21, 11, 18, 12, 14, 15, 13, 19, 20, 22, 23, 45, 24, 44, 58, 25, 46, 26, 42, 43, 27, 56, 57, 63, 28, 48, 29, 47, 59, 30, 49, 31, 37, 38, 32, 39, 40, 41, 33, 50, 34, 51, 52, 35, 53, 54, 55, 36, 60, 61, 62, 64, 65, 129, 66, 128, 170 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`This gatomorphism rotates the interpretations (pp)-(rr) of Stanley, using the "descending slope" mapping illustrated in A086431.`
	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: A086430. a(n) = A086427(A086427(n)) = A086431(A086430(A086431(n))) = A057164(A085159(A057164(n))) = A086425(A082315(A086426(n))). Occurs in A073200.` `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: A073199 A125988 A085160 this_sequence A085172 A085164 A071665` `Adjacent sequences: A086426 A086427 A086428 this_sequence A086430 A086431 A086432`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (Firstname.Surname(AT)iki.fi), Jun 23 2003`

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Last modified November 21 14:49 EST 2008. Contains 150807 sequences.

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