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 A143353 Triangle read by rows, A127172 * A128407 = (A051731)^3 * A128407, 1<=k<=n. 1

%I

%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

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Last modified May 17 16:03 EDT 2021. Contains 343980 sequences. (Running on oeis4.)