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A073207 Permutation of natural numbers induced by the Catalan bijection gmA073207 acting on the parenthesizations as ordered by A014486. 5
0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 11, 17, 16, 20, 12, 18, 10, 14, 15, 13, 19, 21, 22, 23, 31, 28, 24, 33, 45, 49, 44, 42, 43, 54, 53, 57, 61, 30, 29, 46, 47, 55, 25, 48, 26, 37, 40, 32, 38, 39, 41, 34, 50, 27, 51, 52, 35, 56, 58, 59, 36, 60, 62, 63, 64, 65, 84, 87, 73, 96, 79, 81 (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 (gmA073207 s) (cond ((pair? s) (gmA072796! s) (gmA073207 (cdr s)) (gmA072797! s) (gmA073207 (cdr s)))) s)

CROSSREFS

Inverse permutation: A073208. The car/cdr-flipped conjugate of A073196, i.e. A073207(n) = A057163(A073196(A057163(n))). Cf. also A073205-A073210.

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

Sequence in context: A073197 A084470 A026265 * A085165 A073205 A073195

Adjacent sequences:  A073204 A073205 A073206 * A073208 A073209 A073210

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified January 16 23:44 EST 2019. Contains 319206 sequences. (Running on oeis4.)