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A073194 Permutation of natural numbers induced by the Catalan bijection gmA073194 acting on the parenthesizations as ordered by A014486. 7
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 (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 (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

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Last modified January 16 21:37 EST 2019. Contains 319206 sequences. (Running on oeis4.)