A071672 The binary encoding of parenthesizations given in a "global arithmetic order", using A001477 as the packing bijection N X N -> N.

10, 1100, 1010, 111000, 110010, 101100, 110100, 11100010, 11001100, 101010, 11110000, 11010010, 1110001100, 11001010, 10111000, 11100100, 1111000010, 1101001100, 1110001010, 1100111000, 10110010, 11011000, 1110010010

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 A122230

Adjacent sequences: A071669 A071670 A071671 * A071673 A071674 A071675

Keyword

nonn,tabl

Author

Antti Karttunen, May 30 2002

Status

approved