A343159 (0,1)-array describing two-dimensional paper-folding construction of A342759, read by upward antidiagonals.

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

Offset

1

References

Rémy Sigrist and N. J. A. Sloane, Two-Dimensional Paper-Folding, Manuscript in preparation, May 2021.

Links

Table of n, a(n) for n=1..95.

Example

The array (which starts in the bottom left corner) begins:
# ....
# [. 0 . 0 . 1 . 1 . 0 . 1 . 1 .]
# [0 . 1 . 0 . 1 . 0 . 1 . 0 . 1]
# [. 0 . 0 . 1 . 1 . 0 . 1 . 1 .]
# [0 . 0 . 1 . 1 . 0 . 0 . 1 . 1]
# [. 1 . 0 . 0 . 1 . 1 . 1 . 0 .]
# [1 . 0 . 1 . 0 . 1 . 0 . 1 . 0]
# [. 1 . 0 . 0 . 1 . 1 . 1 . 0 .]
# [1 . 1 . 1 . 1 . 0 . 0 . 0 . 0]
# [. 0 . 1 . 1 . 1 . 0 . 0 . 1 .]
# [0 . 1 . 0 . 1 . 0 . 1 . 0 . 1]
# [. 0 . 1 . 1 . 1 . 0 . 0 . 1 .]
# [1 . 1 . 0 . 0 . 1 . 1 . 0 . 0]
# [. 1 . 1 . 0 . 1 . 1 . 0 . 0 .]
# [1 . 0 . 1 . 0 . 1 . 0 . 1 . 0]
# [. 1 . 1 . 0 . 1 . 1 . 0 . 0 .]
The first few antidiagonals are:
[1, 1]
[1, 0, 1, 1]
[0, 1, 1, 1, 0, 0]
[1, 0, 0, 0, 1, 1, 0, 1]
[1, 1, 1, 0, 1, 0, 1, 1, 1, 1]
[0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0]
[0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0]
...

Crossrefs

Cf. A342759.

Sequence in context: A163810 A163804 A181653 * A155091 A145362 A261092

Adjacent sequences: A343156 A343157 A343158 * A343160 A343161 A343162

Keyword

nonn,tabl

Author

Rémy Sigrist and N. J. A. Sloane, Apr 12 2021.

Status

approved