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A073195 Permutation of natural numbers induced by the Catalan bijection gmA073195 acting on the parenthesizations as ordered by A014486. 3
0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 16, 10, 17, 20, 11, 18, 12, 14, 21, 13, 15, 19, 22, 23, 44, 24, 42, 43, 25, 57, 26, 45, 53, 27, 46, 54, 61, 28, 47, 29, 48, 55, 30, 49, 31, 37, 56, 32, 38, 58, 62, 33, 50, 34, 39, 59, 35, 40, 51, 63, 36, 41, 52, 60, 64, 65, 126, 66, 128, 131, 67 (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 (gmA073195 s) (cond ((pair? s) (gmA073195 (cdr s)) (gmA072796! s) (gmA073195 (car s)) (gmA072797! s))) s)

CROSSREFS

Inverse permutation: A073194. The car/cdr-flipped conjugate of A073206, i.e. A073195(n) = A057163(A073206(A057163(n))). Cf. also A073194-A073199.

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

Sequence in context: A073207 A085165 A073205 * A073199 A125988 A268132

Adjacent sequences:  A073192 A073193 A073194 * A073196 A073197 A073198

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified January 19 16:18 EST 2019. Contains 319307 sequences. (Running on oeis4.)