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Binary array, related to A103122, read by downward antidiagonals.
1

%I #14 May 05 2020 05:34:48

%S 0,1,0,0,1,0,1,1,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,1,1,0,1,1,0,0,0,1,

%T 1,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,

%U 1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0

%N Binary array, related to A103122, read by downward antidiagonals.

%H David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, Sloping binary numbers: a new sequence related to the binary numbers [<a href="http://neilsloane.com/doc/slopey.pdf">pdf</a>, <a href="http://neilsloane.com/doc/slopey.ps">ps</a>].

%H David Applegate, Benoit Cloitre, Philippe Deléham and N. J. A. Sloane, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL8/Sloane/sloane300.html">Sloping binary numbers: a new sequence related to the binary numbers</a>, J. Integer Seq. 8 (2005), no. 3, Article 05.3.6, 15 pp.

%e The k-th row for k>=0:

%e 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...

%e 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1, 0, ...

%e 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, ...

%e 0, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 1, 0, ...

%e 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, ...

%e 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, ...

%e 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, ...

%e 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, ...

%e ...

%e Column n is A103122(n) written in base 2 ( see Table 2 in reference).

%Y Cf. A103122.

%K nonn,tabl

%O 0,1

%A _N. J. A. Sloane_, _Philippe Deléham_, Apr 24 2005