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A073210 Permutation of natural numbers induced by the gatomorphism gmA073210 acting on the parenthesizations as ordered by A014486. +0
7
0, 1, 2, 3, 4, 6, 7, 5, 8, 9, 10, 14, 16, 19, 17, 20, 12, 11, 13, 21, 18, 15, 22, 23, 24, 25, 26, 27, 37, 38, 42, 44, 47, 51, 53, 56, 60, 45, 46, 54, 57, 61, 31, 34, 30, 28, 29, 35, 33, 32, 36, 58, 62, 49, 48, 59, 40, 43, 39, 52, 63, 55, 50, 41, 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 (gmA073210 s) (cond ((pair? s) (gmA073210 (car s)) (gmA072797! s) (gmA073210 (car s)) (gmA072796! s))) s)

CROSSREFS

Inverse permutation: A073209. The car/cdr-flipped conjugate of A073199, i.e. A073210(n) = A057163(A073199(A057163(n))). Cf. also A073205-A073208.

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

Adjacent sequences: A073207 A073208 A073209 this_sequence A073211 A073212 A073213

Sequence in context: A013944 A123497 A123501 this_sequence A073196 A086430 A073194

KEYWORD

nonn

AUTHOR

Antti Karttunen Jun 25 2002

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Last modified October 7 14:39 EDT 2008. Contains 144666 sequences.


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