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A073197 Permutation of natural numbers induced by the Catalan bijection gmA073197 acting on the parenthesizations as ordered by A014486. 5
0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 10, 17, 16, 20, 11, 18, 12, 14, 19, 13, 21, 15, 22, 23, 24, 25, 26, 27, 45, 46, 44, 42, 57, 54, 43, 53, 61, 28, 29, 48, 47, 55, 30, 49, 31, 37, 38, 35, 51, 40, 63, 33, 50, 32, 58, 60, 34, 56, 39, 41, 36, 62, 52, 59, 64, 65, 66, 67, 68, 69, 70, 71 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Is there an equivalent Catalan bijection in A073200?

LINKS

Table of n, a(n) for n=0..71.

A. Karttunen, Gatomorphisms (with the complete Scheme source)

Index entries for sequences that are permutations of the natural numbers

PROG

(Scheme function implementing this automorphism on list-structures:)

(define (gmA073197 s) (cond ((pair? s) (gmA073197 (car s)) (gmA072796! s) (gmA073197 (car s)) (gmA072797! s))) s)

CROSSREFS

Inverse permutation: A073196. The car/cdr-flipped conjugate of A073208, i.e. A073197(n) = A057163(A073208(A057163(n))). Cf. also A073194-A073199.

The scheme functions gma072796! and gma072797! referred to below are given in A072796 and A072797.

Sequence in context: A123498 A123502 A073209 * A084470 A026265 A073207

Adjacent sequences:  A073194 A073195 A073196 * A073198 A073199 A073200

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified January 18 23:05 EST 2019. Contains 319282 sequences. (Running on oeis4.)