%I #2 Mar 30 2012 17:25:32
%S 1,-1,3,-1,0,5,0,-3,0,7,-1,0,0,0,9,1,-3,-5,0,0,11,-1,0,0,0,0,0,13,0,0,
%T 0,-7,0,0,0,15,0,0,-5,0,0,0,0,0,17,1,-3,0,0,-9,0,0,0,0,19,-1,0,0,0,0,
%U 0,0,0,0,0,21
%N Triangle read by rows, A054525 * A127775, 1<=k<=n.
%C Row sums = A140434: (1, 2, 4, 4, 8, 4, 12, 8, 12,...).
%C Left border = mu(n), A008683.
%F Triangle read by rows, A054525 * A127775, 1<=k<=n. Mobius transform of an infinite lower triangular matrix with (1, 3, 5, 7,...) in the main diagonal and the rest zeros.
%e First few rows of the triangle =
%e 1;
%e -1, 3;
%e -1, 0, 5;
%e 0, -3, 0, 7;
%e -1, 0, 0, 0, 9;
%e 1, -3, -5, 0, 0, 11;
%e -1, 0, 0, 0, 0, 0, 13;
%e ...
%Y Cf. A127775, A054525, A140434, A008683.
%K tabl,sign
%O 1,3
%A _Gary W. Adamson_, Aug 17 2008