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A073209 Permutation of natural numbers induced by the gatomorphism gmA073209 acting on the parenthesizations as ordered by A014486. +0
3
0, 1, 2, 3, 4, 7, 5, 6, 8, 9, 10, 17, 16, 18, 11, 21, 12, 14, 20, 13, 15, 19, 22, 23, 24, 25, 26, 27, 45, 46, 44, 42, 49, 48, 43, 47, 50, 28, 29, 58, 56, 63, 30, 57, 31, 37, 38, 32, 54, 53, 62, 33, 59, 34, 39, 61, 35, 40, 51, 55, 36, 41, 52, 60, 64, 65, 66, 67, 68, 69, 70, 71 (list; graph; listen)
OFFSET

0,3

COMMENT

Is there equivalent gatomorphism in A073200?

LINKS

A. Karttunen, Gatomorphisms (with the complete Scheme source)

Index entries for sequences that are permutations of the natural numbers

PROGRAM

(Scheme function implementing this automorphism on list-structures:)

(define (gmA073209 s) (cond ((pair? s) (gmA072796! s) (gmA073209 (car s)) (gmA072797! s) (gmA073209 (car s)))) s)

CROSSREFS

Inverse permutation: A073210. The car/cdr-flipped conjugate of A073198, i.e. A073209(n) = A057163(A073198(A057163(n))). Cf. also A073205-A073208.

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

Sequence in context: A035532 A123498 A123502 this_sequence A073197 A084470 A026265

Adjacent sequences: A073206 A073207 A073208 this_sequence A073210 A073211 A073212

KEYWORD

nonn

AUTHOR

Antti Karttunen Jun 25 2002

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Last modified December 4 23:11 EST 2009. Contains 170347 sequences.


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