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A071672
The binary encoding of parenthesizations given in a "global arithmetic order", using
A001477
as the packing bijection N X N -> N.
4
10, 1100, 1010, 111000, 110010, 101100, 110100, 11100010, 11001100, 101010, 11110000, 11010010, 1110001100, 11001010, 10111000, 11100100, 1111000010, 1101001100, 1110001010, 1100111000, 10110010, 11011000, 1110010010
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OFFSET
1,1
LINKS
Table of n, a(n) for n=1..23.
A. Karttunen,
Gatomorphisms
(Includes the complete Scheme source for computing this sequence)
CROSSREFS
Cf.
A071672
(n) =
A063171
(
A071654
(n)). Permutation of
A063171
and
A071671
. Particularly, applying the automorphism ReflectBinTree (
A057163
) to
A071672
(n) yields
A071671
(n). The length of each term / 2:
A071673
.
Sequence in context:
A133383
A268229
A307723
*
A290155
A265849
A390672
Adjacent sequences:
A071669
A071670
A071671
*
A071673
A071674
A071675
KEYWORD
nonn
,
tabl
AUTHOR
Antti Karttunen
, May 30 2002
STATUS
approved