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%I #2 Mar 30 2012 17:25:31
%S 1,-1,2,-1,0,4,0,-2,0,8,-1,0,0,0,16,1,-2,-4,0,0,32,-1,0,0,0,0,0,64,0,
%T 0,0,-8,0,0,0,128,0,0,-4,0,0,0,0,0,256,1,-2,0,0,-16,0,0,0,0,512,-1,0,
%U 0,0,0,0,0,0,0,0,1024,0,2,0,-8,0,-32,0,0,0,0,0,2048
%N Triangle read by rows, A054525 * A130123, 1<=k<=n.
%C Row sums = A000740 starting with offset 1: (1, 1, 3, 6, 15, 27, 63,...).
%C Left border = mu(n), A008683.
%F Mobius transform of A130123, where A130123 = an infinite lower triangular matrix with (1, 2, 4, 8,...) in the main diagonal and the rest zeros.
%e First few rows of the triangle =
%e 1;
%e -1, 2;
%e -1, 0, 4;
%e 0, -2, 0, 8;
%e -1, 0, 0, 0, 16;
%e 1, -2, -4, 0, 0, 32;
%e -1, 0, 0, 0, 0, 0, 64;
%e 0, 0, 0, -8, 0, 0, 0, 128;
%e ...
%Y Cf. A000740, A130123, A054525, A008683.
%K tabl,sign
%O 1,3
%A _Gary W. Adamson_, Aug 14 2008
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