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A073208 Permutation of natural numbers induced by the Catalan bijection gmA073208 acting on the parenthesizations as ordered by A014486. 5
0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 16, 10, 14, 19, 17, 18, 12, 11, 15, 20, 13, 21, 22, 23, 26, 42, 44, 53, 25, 38, 37, 24, 47, 27, 51, 56, 60, 45, 48, 49, 46, 50, 31, 32, 30, 28, 39, 40, 43, 29, 52, 54, 55, 34, 33, 41, 57, 35, 58, 59, 61, 36, 62, 63, 64, 65, 126, 73, 72, 76, 121 (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 (gmA073208 s) (cond ((pair? s) (gmA073208 (cdr s)) (gmA072797! s) (gmA073208 (cdr s)) (gmA072796! s))) s)

CROSSREFS

Inverse permutation: A073207. The car/cdr-flipped conjugate of A073197, i.e. A073208(n) = A057163(A073197(A057163(n))). Cf. also A073205-A073210.

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

Sequence in context: A125977 A071666 A026264 * A182113 A026236 A238862

Adjacent sequences:  A073205 A073206 A073207 * A073209 A073210 A073211

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified January 17 17:07 EST 2019. Contains 319235 sequences. (Running on oeis4.)