id:A089859 - OEIS Search Results

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Permutation of natural numbers induced by the Catalan automorphism gma089859 acting on the binary trees/parenthesizations encoded by A014486/A063171.

+0
21

0, 1, 3, 2, 8, 7, 6, 4, 5, 21, 22, 20, 17, 18, 19, 16, 14, 9, 10, 15, 11, 12, 13, 58, 59, 62, 63, 64, 57, 61, 54, 45, 46, 55, 48, 49, 50, 56, 60, 53, 44, 47, 51, 42, 37, 23, 24, 38, 25, 26, 27, 52, 43, 39, 28, 29, 40, 30, 31, 32, 41, 33, 34, 35, 36, 170, 171, 174, 175, 176, 184 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`A. Karttunen, C-program for computing this sequence` `Index entries for signature-permutations induced by Catalan automorphisms`
	PROGRAM	`(Scheme functions implementing this automorphism on list-structures:)` `(define (gma089859! s) (cond ((pair? s) (cond ((pair? (cdr s)) (swap! (cdr s)) (swap! s)) (else (swap! s))))) s)` `(define (swap! s) (let ((ex-car (car s))) (set-car! s (cdr s)) (set-cdr! s ex-car) s))`
	CROSSREFS	`Inverse of A089863. a(n) = A089854(A069770(n)) = A069770(A089850(n)). Row 15 of A089840. A089864 is the "square" of this permutation.` `Number of cycles: A089407. Max. cycle size & LCM of all cycle sizes: A040002 (in range [A014137(n-1)..A014138(n-1)] of this permutation).` `Sequence in context: A122337 A125985 A073282 this_sequence A130958 A130397 A154457` `Adjacent sequences: A089856 A089857 A089858 this_sequence A089860 A089861 A089862`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (Firstname.Surname(AT)iki.fi), Nov 29 2003`

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

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