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A073196 Permutation of natural numbers induced by the gatomorphism gmA073196 acting on the parenthesizations as ordered by A014486. +0
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; 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 (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.

Adjacent sequences: A073193 A073194 A073195 this_sequence A073197 A073198 A073199

Sequence in context: A123497 A123501 A073210 this_sequence A086430 A073194 A085159

KEYWORD

nonn

AUTHOR

Antti Karttunen Jun 25 2002

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Last modified October 13 20:18 EDT 2008. Contains 145016 sequences.


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