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A073206 Permutation of natural numbers induced by the gatomorphism gmA073206 acting on the parenthesizations as ordered by A014486. +0
3
0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 14, 16, 10, 19, 17, 18, 12, 11, 13, 20, 21, 15, 22, 23, 37, 42, 24, 51, 44, 47, 26, 25, 27, 53, 56, 38, 60, 45, 46, 48, 49, 50, 31, 32, 30, 28, 33, 34, 35, 39, 36, 54, 55, 57, 58, 59, 40, 29, 43, 52, 61, 62, 63, 41, 64, 65, 107, 121, 66, 149, 126 (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 (gmA073206 s) (cond ((pair? s) (gmA073206 (car s)) (gmA072797! s) (gmA073206 (cdr s)) (gmA072796! s))) s)

CROSSREFS

Inverse permutation: A073205. The car/cdr-flipped conjugate of A073195, i.e. A073206(n) = A057163(A073195(A057163(n))). Cf. also A073207-A073210.

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

Adjacent sequences: A073203 A073204 A073205 this_sequence A073207 A073208 A073209

Sequence in context: A085163 A084469 A085166 this_sequence A125987 A073198 A071661

KEYWORD

nonn

AUTHOR

Antti Karttunen Jun 25 2002

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Last modified October 10 20:39 EDT 2008. Contains 144831 sequences.


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