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%I #2 Mar 30 2012 18:59:19
%S 1,0,1,0,0,1,0,0,-1,1,0,0,1,-1,1,0,0,0,0,0,1,0,0,-1,1,-1,0,1,0,0,1,-1,
%T 1,-1,-1,1,0,0,0,0,0,1,0,-1,1,0,0,0,0,0,1,0,-1,0,1,0,0,-1,1,-1,1,1,-1,
%U 0,0,1
%N Inverse of number triangle mod(C(floor(k/2),n-k),2).
%C Row sums are A085357. Inverse of A127829.
%e Triangle begins
%e 1,
%e 0, 1,
%e 0, 0, 1,
%e 0, 0, -1, 1,
%e 0, 0, 1, -1, 1,
%e 0, 0, 0, 0, 0, 1,
%e 0, 0, -1, 1, -1, 0, 1,
%e 0, 0, 1, -1, 1, -1, -1, 1,
%e 0, 0, 0, 0, 0, 1, 0, -1, 1,
%e 0, 0, 0, 0, 0, 1, 0, -1, 0, 1,
%e 0, 0, -1, 1, -1, 1, 1, -1, 0, 0, 1
%K sign,tabl
%O 0,1
%A _Paul Barry_, Feb 01 2007