A343159 - OEIS

%I #10 May 05 2021 01:18:02

%S 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,

%T 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,

%U 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

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

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

%e The array (which starts in the bottom left corner) begins:

%e # ....

%e # [. 0 . 0 . 1 . 1 . 0 . 1 . 1 .]

%e # [0 . 1 . 0 . 1 . 0 . 1 . 0 . 1]

%e # [. 0 . 0 . 1 . 1 . 0 . 1 . 1 .]

%e # [0 . 0 . 1 . 1 . 0 . 0 . 1 . 1]

%e # [. 1 . 0 . 0 . 1 . 1 . 1 . 0 .]

%e # [1 . 0 . 1 . 0 . 1 . 0 . 1 . 0]

%e # [. 1 . 0 . 0 . 1 . 1 . 1 . 0 .]

%e # [1 . 1 . 1 . 1 . 0 . 0 . 0 . 0]

%e # [. 0 . 1 . 1 . 1 . 0 . 0 . 1 .]

%e # [0 . 1 . 0 . 1 . 0 . 1 . 0 . 1]

%e # [. 0 . 1 . 1 . 1 . 0 . 0 . 1 .]

%e # [1 . 1 . 0 . 0 . 1 . 1 . 0 . 0]

%e # [. 1 . 1 . 0 . 1 . 1 . 0 . 0 .]

%e # [1 . 0 . 1 . 0 . 1 . 0 . 1 . 0]

%e # [. 1 . 1 . 0 . 1 . 1 . 0 . 0 .]

%e The first few antidiagonals are:

%e [1, 1]

%e [1, 0, 1, 1]

%e [0, 1, 1, 1, 0, 0]

%e [1, 0, 0, 0, 1, 1, 0, 1]

%e [1, 1, 1, 0, 1, 0, 1, 1, 1, 1]

%e [0, 0, 1, 1, 1, 1, 1, 1, 0, 0, 1, 0]

%e [0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0]

%e ...

%Y Cf. A342759.

%K nonn,tabl

%O 1

%A _Rémy Sigrist_ and _N. J. A. Sloane_, Apr 12 2021.