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%I #5 Sep 08 2013 13:31:05
%S 1,1,1,0,0,1,0,1,1,1,1,0,1,0,1,1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,1,0,1,
%T 1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,1,0,1,
%U 1,0,1,1,0,0,0,1,1,1,1,0,0,0,0,0,1,0,1,0,1,0,1,1,1,0,0,0,1,1,0,1,0,1,0,1,1
%N Triangle formed by reading triangle A064189 mod 2 .
%C Also triangle formed by reading triangles A091965, A108149, A110877, A125906, A126954 mod 2 .
%F Sum_{k, 0<=k<=n}T(n,k)*x^k=A039963(n), A097357(n+1), A110565(n+1) for x=0,1,2 respectively . T(n,k)= (T(n-1,k-1)+T(n-1,k)+T(n-1,k+1)) mod 2, T(0,0)=1, T(n,k)=0 if k<0 or if k>n .
%e Triangle begins:
%e 1;
%e 1, 1;
%e 0, 0, 1;
%e 0, 1, 1, 1;
%e 1, 0, 1, 0, 1;
%e 1, 0, 1, 0, 1, 1;
%e 1, 0, 1, 0, 0, 0, 1;
%e 1, 0, 1, 1, 0, 1, 1, 1;
%e 1, 0, 0, 0, 0, 0, 1, 0, 1;
%e 1, 1, 0, 0, 0, 1, 1, 0, 1, 1;
%e 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1 ;...
%K nonn,tabl
%O 0,1
%A _Philippe Deléham_, Apr 09 2007
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