A073194 Permutation of natural numbers induced by the Catalan bijection gmA073194 acting on the parenthesizations as ordered by A014486.

0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 11, 14, 16, 19, 17, 20, 10, 12, 15, 21, 13, 18, 22, 23, 25, 28, 30, 33, 37, 39, 42, 44, 47, 51, 53, 56, 60, 45, 48, 54, 57, 61, 26, 27, 24, 31, 34, 38, 40, 43, 52, 58, 62, 32, 35, 41, 46, 29, 49, 55, 63, 36, 50, 59, 64, 65, 67, 70, 72, 75, 79, 81

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 (gmA073194 s) (cond ((pair? s) (gmA072797! s) (gmA073194 (car s)) (gmA072796! s) (gmA073194 (cdr s)))) s)

Crossrefs

Inverse permutation: A073195. The car/cdr-flipped conjugate of A073205, i.e. A073194(n) = A057163(A073205(A057163(n))). Cf. also A073196-A073199.

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

Sequence in context: A073210 A073196 A086430 * A085159 A085171 A085163

Adjacent sequences: A073191 A073192 A073193 * A073195 A073196 A073197

Keyword

nonn

Author

Antti Karttunen, Jun 25 2002

Status

approved