A073199 Permutation of natural numbers induced by the Catalan bijection gmA073199 acting on the parenthesizations as ordered by A014486.

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

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