id:A154449 - OEIS Search Results

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Signature permutation of a Catalan bijection induced by generator "a" of the rightward recursing instance of Basilica group wreath recursion: a = (1,b), b = s(1,a).

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0, 1, 2, 3, 5, 4, 6, 7, 8, 12, 13, 11, 9, 10, 15, 14, 16, 17, 18, 19, 20, 21, 22, 32, 31, 34, 35, 36, 30, 33, 28, 23, 24, 29, 25, 26, 27, 40, 41, 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, 91, 92, 90, 87, 88, 97, 96 (list; graph; listen)

	OFFSET	`0,3`
	COMMENT	`This automorphism of rooted plane binary trees switches the two descendant trees for every other vertex as it returns back toward the root, after descending down to the rightmost tip of the tree along the 111... ray, so that the last vertex whose descendants are swapped, is the right-hand side child of the root and the root itself is fixed. Specifically, *A154449 = psi(A154439), where the isomorphism psi is given in A153141 (see further comments there).`
	LINKS	`A. Karttunen, Table of n, a(n) for n = 0..2055` `Index entries for signature-permutations of Catalan automorphisms`
	PROGRAM	`(Scheme function, destructive implementation of this automorphism acting on S-expressions:) (define (A154449! s) (if (pair? s) (A154451! (cdr s))) s)`
	CROSSREFS	`Inverse: A154450. a(n) = A154455(A069768(n)) = A057163(A154453(A057163(n))). Cf. A154451.` `Sequence in context: A154122 A089850 A154450 this_sequence A122304 A122303 A130341` `Adjacent sequences: A154446 A154447 A154448 this_sequence A154450 A154451 A154452`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (His-Firstname.His-Surname(AT)gmail.com), Jan 17 2009`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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