id:A089860 - OEIS Search Results

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Permutation of natural numbers induced by the Catalan automorphism gma089860 acting on the binary trees/parenthesizations encoded by A014486/A063171.

+0
13

0, 1, 3, 2, 8, 6, 7, 4, 5, 21, 22, 19, 14, 15, 20, 16, 17, 9, 10, 18, 11, 12, 13, 58, 59, 62, 63, 64, 56, 60, 51, 37, 38, 52, 39, 40, 41, 57, 61, 53, 42, 43, 54, 44, 45, 23, 24, 46, 25, 26, 27, 55, 47, 48, 28, 29, 49, 30, 31, 32, 50, 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 (gma089860! s) (cond ((pair? s) (cond ((pair? (cdr s)) (swap! (cdr s)) (robl! s) (swap! (car s))) (else (swap! s))))) s)` `(define (swap! s) (let ((ex-car (car s))) (set-car! s (cdr s)) (set-cdr! s ex-car) s))` `(define (robl! s) (let ((ex-car (car s))) (set-car! s (cddr s)) (set-cdr! (cdr s) ex-car) (swap! (cdr s)) (swap! s) s))`
	CROSSREFS	`Inverse of A089862. a(n) = A089855(A069770(n)) = A069770(A089851(n)) = A069770(A074680(A069770(n))) = A057163(A089862(A057163(n))). Row 16 of A089840.` `Number of cycles: A001683 (unproved). Number of fixed points: A019590. Max. cycle size & LCM of all cycle sizes: A089410 (in range [A014137(n-1)..A014138(n-1)] of this permutation).` `Adjacent sequences: A089857 A089858 A089859 this_sequence A089861 A089862 A089863` `Sequence in context: A098163 A072112 A071658 this_sequence A130960 A130927 A057162`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen (Firstname.Surname(AT)iki.fi), Nov 29 2003`

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Last modified October 15 20:12 EDT 2008. Contains 145099 sequences.

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