A159638 Start with [1] and repeatedly apply the map 0 -> [01/10], 1 -> [10/01].

1, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 1

Offset

0,1

Comments

Square array related to Thue-Morse sequences, read by antidiagonals.

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..10000

Formula

T(n,0) = A010059(n); T(0,k) = A010059(k).

Example

1 -> [10/01] -> [1001/0110/0110/1001] -> [10010110/01101001/01101001/10010110/01101001/10010110/10010110/01101001] -> ...
Array begins:
1 0 0 1 0 1 1 0
0 1 1 0 1 0 0 1
0 1 1 0 1 0 0 1
1 0 0 1 0 1 1 0
0 1 1 0 1 0 0 1
1 0 0 1 0 1 1 0
1 0 0 1 0 1 1 0
0 1 1 0 1 0 0 1
...

Crossrefs

Cf. A010059, A010060.

Sequence in context: A288733 A095111 A166253 * A187615 A369653 A120528

Adjacent sequences: A159635 A159636 A159637 * A159639 A159640 A159641

Keyword

nonn,tabl,easy

Author

Philippe Deléham, Apr 17 2009

Status

approved