A082351 - OEIS

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A082351

Permutation of natural numbers induced by the Catalan bijection gma082351 acting on the parenthesizations encoded by A014486/A063171.

0, 1, 2, 3, 4, 5, 8, 6, 7, 9, 10, 11, 12, 13, 19, 20, 21, 14, 15, 22, 16, 17, 18, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 51, 52, 53, 54, 55, 56, 57, 58, 37, 38, 59, 39, 40, 41, 60, 61, 62, 42, 43, 63, 44, 45, 46, 64, 47, 48, 49, 50, 65, 66, 67, 68, 69 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`0,3`
	LINKS	`Table of n, a(n) for n=0..69.` `A. Karttunen, Gatomorphisms (with the complete Scheme source)` `Index entries for signature-permutations induced by Catalan automorphisms`
	PROG	`(Scheme functions implementing this automorphism on list-structures:)` `(define (gma082351! s) (cond ((not (pair? s)) s) ((not (pair? (car s))) s) ((not (pair? (cdr s))) (robl! (swap! s))) (else (robl! 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 of A082352. a(n) = A057163(A082353(A057163(n))). Cf. also A074679-A074680, A082355-A082356, A082361-A082362.` `Sequence in context: A063948 A113929 A220394 * A122319 A123714 A089857` `Adjacent sequences: A082348 A082349 A082350 * A082352 A082353 A082354`
	KEYWORD	`nonn`
	AUTHOR	`Antti Karttunen, Apr 17 2003`
	STATUS	`approved`

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Last modified June 23 21:09 EDT 2021. Contains 345402 sequences. (Running on oeis4.)