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Triangle read by rows, A143315 * A128407, 1<=k<=n.
2

%I #6 Aug 14 2023 06:54:34

%S 1,3,-1,5,0,-1,7,-3,0,0,9,0,0,0,-1,11,-5,-3,0,0,1,13,0,0,0,0,0,-1,15,

%T -7,0,0,0,0,0,0,17,0,-5,0,0,0,0,0,0,19,-9,0,0,-3,0,0,0,0,1,21,0,0,0,0,

%U 0,0,0,0,0,-1,23,-11,-7,0,0,3,0,0,0,0,0,0,25,0,0,0,0,0,0,0,0,0,0,0,-1

%N Triangle read by rows, A143315 * A128407, 1<=k<=n.

%C Row sums = A140434: (1, 2, 4, 4, 8, 4, 12, 8, 12,...).

%C Right border = mu(n), A008683: (1, -1, -1, 0, -1, 1,...).

%e First few rows of the triangle =

%e 1;

%e 3, -1;

%e 5, 0, -1;

%e 7, -3, 0, 0;

%e 9, 0, 0, 0, -1;

%e 11, -5, -3, 0, 0, 1;

%e 13, 0, 0, 0, 0, 0, -1;

%e ...

%Y Cf. A008683, A128407, A143315, A143467.

%K tabl,sign

%O 1,2

%A _Gary W. Adamson_, Aug 17 2008

%E a(66) corrected by _Georg Fischer_, Aug 14 2023