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A073205 Permutation of natural numbers induced by the Catalan bijection gmA073205 acting on the parenthesizations as ordered by A014486. 7
0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 12, 17, 16, 18, 10, 21, 11, 14, 15, 13, 19, 20, 22, 23, 26, 31, 30, 32, 45, 57, 44, 42, 43, 46, 47, 48, 50, 24, 35, 49, 56, 63, 25, 58, 28, 37, 38, 29, 39, 40, 41, 27, 59, 33, 51, 52, 34, 53, 54, 55, 36, 60, 61, 62, 64, 65, 68, 73, 72, 74, 87, 99 (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 (gmA073205 s) (cond ((pair? s) (gmA072796! s) (gmA073205 (cdr s)) (gmA072797! s) (gmA073205 (car s)))) s)

CROSSREFS

Inverse permutation: A073206. The car/cdr-flipped conjugate of A073194, i.e. A073205(n) = A057163(A073194(A057163(n))). Cf. also A073207-A073210.

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

Sequence in context: A026265 A073207 A085165 * A073195 A073199 A125988

Adjacent sequences:  A073202 A073203 A073204 * A073206 A073207 A073208

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified January 19 16:32 EST 2019. Contains 319309 sequences. (Running on oeis4.)