A338353 A (0,1)-matrix in the first quadrant read by downward antidiagonals: an example of a non-uniformly recurrent 2-D word having uniformly recurrent rows and columns.

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

Offset

0

Comments

Proposition 4 of Charlier et al. (2020) gives the formal definition of the matrix.

References

Charlier, Émilie, Svetlana Puzynina, and Élise Vandomme. "Recurrence along directions in multidimensional words." Discrete Mathematics 343.10 (2020): 112006.

Links

Table of n, a(n) for n=0..35.

Émilie Charlier, Svetlana Puzynina, and Élise Vandomme, Recurrence along directions in multidimensional words, arXiv:1907.00192 [math.CO], 2019-2020.

Example

The array begins:
...........
0 0 1 0 0 1 0 1 0 ...
1 0 1 0 0 1 0 1 0 ...
0 0 1 0 0 1 0 1 0 ...
1 0 1 0 0 1 0 1 0 ...
0 0 1 0 0 1 0 1 0 ...
1 0 1 0 0 1 0 1 0 ...
This is to be read from bottom to top and left to right.
The initial antidiagonals (starting in bottom left corner) are:
1,
0,0,
1,0,1,
0,0,1,0,
1,0,1,0,0,
0,0,1,0,0,1,
1,0,1,0,0,1,0,
0,0,1,0,0,1,0,1,
...

Crossrefs

Cf. A338352.

Sequence in context: A105367 A232990 A285076 * A267598 A194681 A359764

Adjacent sequences: A338350 A338351 A338352 * A338354 A338355 A338356

Keyword

nonn,tabl,more

Author

N. J. A. Sloane, Nov 02 2020

Status

approved