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Triangle read by rows, (A051731)^4 * A128407, 1<=k<=n.
2

%I #6 Jul 24 2024 09:46:20

%S 1,4,-1,4,0,-1,10,-4,0,0,4,0,0,0,-1,16,-4,-4,0,0,1,4,0,0,0,0,0,-1,20,

%T -10,0,0,0,0,0,0,10,0,-4,0,0,0,0,0,0,16,-4,0,0,-4,0,0,0,0,1,4,0,0,0,0,

%U 0,0,0,0,0,40,-16,-10,0,0,4,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,-1

%N Triangle read by rows, (A051731)^4 * A128407, 1<=k<=n.

%C Left border = A007426.

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

%C Row sums = A007425: (1, 3, 3, 6, 3, 9,...).

%F Triangle read by rows, (A051731)^4 * A128407, 1<=k<=n

%e First few rows of the triangle =

%e 1;

%e 4, -1;

%e 4, 0, -1;

%e 10, -4, 0, 0;

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

%e 16, -4, -4, 0, 0, 1;

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

%e 10, -10, 0, 0, 0, 0, 0, 0;

%e ...

%Y Cf. A051731, A128407, A007425, A007426, A008683.

%K tabl,sign

%O 1,2

%A _Gary W. Adamson_, Aug 10 2008