%I #5 Sep 08 2013 13:31:38
%S 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,
%T 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,
%U 0,0,1,1,1,1,0,0,0,0,1
%N Start with [1] and repeatedly apply the map 0 -> [01/10], 1 -> [10/01].
%C Square array related to Thue-Morse sequences, read by antidiagonals.
%H Nathaniel Johnston, <a href="/A159638/b159638.txt">Table of n, a(n) for n = 0..10000</a>
%F T(n,0) = A010059(n); T(0,k) = A010059(k).
%e 1 -> [10/01] -> [1001/0110/0110/1001] -> [10010110/01101001/01101001/10010110/01101001/10010110/10010110/01101001] -> ...
%e Array begins:
%e 1 0 0 1 0 1 1 0
%e 0 1 1 0 1 0 0 1
%e 0 1 1 0 1 0 0 1
%e 1 0 0 1 0 1 1 0
%e 0 1 1 0 1 0 0 1
%e 1 0 0 1 0 1 1 0
%e 1 0 0 1 0 1 1 0
%e 0 1 1 0 1 0 0 1
%e ...
%Y Cf. A010059, A010060.
%K nonn,tabl,easy
%O 0,1
%A _Philippe Deléham_, Apr 17 2009