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Triangle read by rows, A051731 * A054524 = (A051731)^2 * A128407; 1<=k<=n.
0

%I #2 Mar 30 2012 17:25:31

%S 1,2,-1,2,0,-1,3,-2,0,0,2,0,0,0,-1,4,-2,-2,0,0,1,2,0,0,0,0,0,-1,4,-3,

%T 0,0,0,0,0,0,3,0,-2,0,0,0,0,0,0,4,-2,0,0,-2,0,0,0,0,1,2,0,0,0,0,0,0,0,

%U 0,0,-1,6,-4,-3,0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,-1,4,-2,0,0,0,0,-2,0,0,0,0,0,0,1

%N Triangle read by rows, A051731 * A054524 = (A051731)^2 * A128407; 1<=k<=n.

%C Left border = d(n), A000010.

%C Right border = mu(n), A008683.

%C Row sums = 1.

%F Triangle read by rows, A051731 * A054524 = (A051731)^2 * A128407; 1<=k<=n

%e First few rows of the triangle =

%e 1;

%e 2, -1;

%e 2, 0, -1;

%e 3, -2, 0, 0;

%e 2, 0, 0, 0, -1

%e 4, -2, -2, 0, 0, 1;

%e 2, 0, 0, 0, 0, 0, -1;

%e 4, -3, 0, 0, 0, 0, 0, 0;

%e 3, 0, -2, 0, 0, 0, 0, 0, 0;

%e 4, -2, 0, 0, -2, 0, 0, 0, 0, 1;

%e ...

%Y Cf. A054524, A051731, A128407, A000010, A008683.

%K tabl,sign

%O 1,2

%A _Gary W. Adamson_, Aug 10 2008