id:A072093 - OEIS Search Results

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A072093

Permutation of natural numbers induced by the automorphism car_robl_car! acting on the parenthesizations encoded by A014486.

+0
4

0, 1, 3, 2, 6, 8, 7, 4, 5, 14, 15, 19, 20, 22, 16, 21, 18, 9, 10, 17, 11, 12, 13, 37, 38, 39, 40, 41, 51, 52, 53, 54, 55, 60, 61, 62, 64, 42, 43, 56, 57, 63, 47, 58, 48, 23, 24, 50, 25, 26, 27, 44, 59, 49, 28, 29, 45, 30, 31, 32, 46, 33, 34, 35, 36, 107, 108, 109, 110, 111 (list; graph; listen)

	OFFSET	`0,3`
	LINKS	`A. Karttunen, Gatomorphisms (Includes the complete Scheme program for computing this sequence)` `Index entries for sequences that are permutations of the natural numbers`
	PROGRAM	`(Scheme function implementing this automorphism on list-structures:)` `(define (car_robl_car! s) (cond ((not (pair? s))) ((not (pair? (cdr s))) (swap! s)) (else (car_robl_car! (car s)) (robl! s) (car_robl_car! (car s)))) 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))` `(define (swap! s) (let ((ex-car (car s))) (set-car! s (cdr s)) (set-cdr! s ex-car) s))`
	CROSSREFS	`Inverse permutation: A072092. The car/cdr-flipped conjugate of A072094, i.e. A072093(n) = A057163(A072094(A057163(n))). Cf. also A071655-A071660, A072090-A072091.` `Sequence in context: A019444 A069773 A122321 this_sequence A130925 A089858 A071660` `Adjacent sequences: A072090 A072091 A072092 this_sequence A072094 A072095 A072096`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen Jun 25 2002`

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Last modified September 4 21:24 EDT 2008. Contains 143414 sequences.

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