%I #2 Mar 30 2012 17:25:31
%S 1,3,-1,3,0,-1,6,-3,0,0,3,0,0,0,-1,9,-3,-3,0,0,1,3,0,0,0,0,0,-1,10,-6,
%T 0,0,0,0,0,0,6,0,-3,0,0,0,0,0,0,9,-3,0,0,-3,0,0,0,0,1,3,0,0,0,0,0,0,0,
%U 0,0,-1,18,-9,-6,0,0,3,0,0,0,0,0,0,3,0,0,0,0,0,0,0,0,0,0,0,-1,9,-3,0,0,0,0,-3,0,0,0,0,0,0,1
%N Triangle read by rows, A127172 * A128407 = (A051731)^3 * A128407, 1<=k<=n.
%C Left border = A007425.
%C Right border = mu(n), A008683.
%C Row sums = d(n), A000010: (1, 2, 2, 3, 2, 4, 2,...).
%F Triangle read by rows, A127172 * A128407 = (A051731)^3 * A128407, 1<=k<=n
%e First few rows of the triangle =
%e 1;
%e 3, -1;
%e 3, 0, -1;
%e 6, -3, 0, 0;
%e 3, 0, 0, 0, -1;
%e 9, -3, -3, 0, 0, 1;
%e 3, 0, 0, 0, 0, 0, -1;
%e 10, -6, 0, 0, 0, 0, 0, 0;
%e 6, 0, -3, 0, 0, 0, 0, 0, 0;
%e 9, -3, 0, 0, -3, 0, 0, 0, 0, 1;
%e ...
%Y Cf. A007425, A127172, A128407, A051731, A000010, A008683.
%K tabl,sign
%O 1,2
%A _Gary W. Adamson_, Aug 10 2008