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A073196 Permutation of natural numbers induced by the Catalan bijection gmA073196 acting on the parenthesizations as ordered by A014486. 4
0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 10, 14, 16, 19, 17, 21, 12, 11, 15, 18, 13, 20, 22, 23, 24, 25, 26, 27, 37, 38, 42, 44, 53, 51, 56, 47, 60, 45, 46, 58, 49, 59, 31, 34, 30, 28, 29, 40, 39, 43, 52, 48, 62, 35, 33, 41, 57, 32, 54, 63, 55, 36, 61, 50, 64, 65, 66, 67, 68, 69, 70, 71 (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 (gmA073196 s) (cond ((pair? s) (gmA072797! s) (gmA073196 (car s)) (gmA072796! s) (gmA073196 (car s)))) s)

CROSSREFS

Inverse permutation: A073197. The car/cdr-flipped conjugate of A073207, i.e. A073196(n) = A057163(A073207(A057163(n))). Cf. also A073194-A073199.

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

Sequence in context: A123497 A123501 A073210 * A086430 A073194 A085159

Adjacent sequences:  A073193 A073194 A073195 * A073197 A073198 A073199

KEYWORD

nonn

AUTHOR

Antti Karttunen, Jun 25 2002

STATUS

approved

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Last modified January 18 21:54 EST 2019. Contains 319282 sequences. (Running on oeis4.)