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Triangle read by rows: T(n,k) = mu(n) where 1<=k<=n and mu=A008683.
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%I #8 Mar 30 2012 17:25:15

%S 1,-1,-1,-1,-1,-1,0,0,0,0,-1,-1,-1,-1,-1,1,1,1,1,1,1,-1,-1,-1,-1,-1,

%T -1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1

%N Triangle read by rows: T(n,k) = mu(n) where 1<=k<=n and mu=A008683.

%C Row sums are A055615(n).

%F T = M * Q, as infinite lower triangular matrices; M = mu(n) in the main diagonal and the rest zeros, Q = (1; 1, 1; 1, 1, 1;...).

%e First few rows of the triangle are:

%e 1;

%e -1, -1;

%e -1, -1, -1;

%e 0, 0, 0, 0;

%e -1, -1, -1, -1, -1;

%e 1, 1, 1, 1, 1, 1;

%e ...

%Y Cf. A008683, A055615.

%K tabl,easy,sign

%O 1,1

%A _Gary W. Adamson_, Jan 17 2007