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A073199 Permutation of natural numbers induced by the Catalan bijection gmA073199 acting on the parenthesizations as ordered by A014486. 7
0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 16, 12, 17, 20, 10, 18, 11, 14, 15, 13, 19, 21, 22, 23, 44, 31, 42, 53, 30, 43, 26, 45, 49, 34, 54, 57, 61, 24, 47, 32, 46, 55, 25, 48, 28, 37, 38, 29, 39, 40, 41, 27, 50, 33, 51, 52, 35, 56, 58, 59, 36, 60, 62, 63, 64, 65, 126, 87, 128, 156, 68 (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 (gmA073199 s) (cond ((pair? s) (gmA073199 (cdr s)) (gmA072796! s) (gmA073199 (cdr s)) (gmA072797! s))) s)

CROSSREFS

Inverse permutation: A073198. The car/cdr-flipped conjugate of A073210, i.e. A073199(n) = A057163(A073210(A057163(n))). Cf. also A073194-A073197.

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

Sequence in context: A085165 A073205 A073195 * A125988 A268132 A085160

Adjacent sequences:  A073196 A073197 A073198 * A073200 A073201 A073202

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified October 23 20:01 EDT 2019. Contains 328373 sequences. (Running on oeis4.)