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A073198 Permutation of natural numbers induced by the Catalan bijection gmA073198 acting on the parenthesizations as ordered by A014486. 3
0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 14, 16, 11, 19, 17, 18, 10, 12, 15, 20, 13, 21, 22, 23, 37, 42, 30, 51, 44, 47, 28, 25, 39, 53, 33, 56, 60, 45, 46, 48, 49, 50, 26, 29, 24, 31, 40, 38, 43, 32, 52, 54, 55, 27, 34, 41, 57, 35, 58, 59, 61, 36, 62, 63, 64, 65, 107, 121, 70, 149, 126 (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..70.

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 (gmA073198 s) (cond ((pair? s) (gmA072797! s) (gmA073198 (cdr s)) (gmA072796! s) (gmA073198 (cdr s)))) s)

CROSSREFS

Inverse permutation: A073199. The car/cdr-flipped conjugate of A073209, i.e. A073198(n) = A057163(A073209(A057163(n))). Cf. also A073194-A073197.

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

Sequence in context: A085166 A073206 A125987 * A071661 A125977 A071666

Adjacent sequences:  A073195 A073196 A073197 * A073199 A073200 A073201

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified January 22 18:06 EST 2019. Contains 319365 sequences. (Running on oeis4.)