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%I #2 Mar 30 2012 18:59:19
%S 1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,
%T 0,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,1,1,0,1
%N A Thue-Morse triangle.
%C Row sums are A127238. Diagonal sums are A127242. Central coefficients give A000012.
%F Number triangle T(n,k)=A010060(binomial(k,n-k))
%e Triangle begins
%e 1,
%e 0, 1,
%e 0, 1, 1,
%e 0, 0, 1, 1,
%e 0, 0, 1, 0, 1,
%e 0, 0, 0, 0, 1, 1,
%e 0, 0, 0, 1, 0, 0, 1,
%e 0, 0, 0, 0, 1, 0, 0, 1,
%e 0, 0, 0, 0, 1, 0, 0, 1, 1,
%e 0, 0, 0, 0, 0, 0, 0, 1, 1, 1,
%e 0, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1
%K easy,nonn,tabl
%O 0,1
%A _Paul Barry_, Jan 10 2007