%I #6 Aug 14 2023 06:54:04
%S 1,4,-1,9,-1,-1,16,-4,-1,0,25,-4,-1,0,-1,36,-9,-4,0,-1,1,49,-9,-4,0,
%T -1,1,-1,64,-16,-4,0,-1,1,-1,0,81,-16,-9,0,-1,1,-1,0,0,100,-25,-9,0,
%U -4,1,-1,0,0,1,121,-25,-9,0,-4,1,-1,0,0,1,-1,144,-36,-16,0,-4,4,-1,0,0,1,-1,0
%N Triangle read by rows, A000012 * A143315 * A128407, 1<=k<=1.
%C Row sums = A018805: (1, 3, 7, 11, 19, 23, 35,...).
%C Right border = mu(n), A008683.
%e First few rows of the triangle =
%e 1;
%e 4, -1;
%e 9, -1, -1;
%e 16, -4, -1, 0;
%e 25, -4, -1, 0, -1;
%e 36, -9, -4, 0, -1, 1;
%e 49, -9, -4, 0, -1, 1, -1;
%e ...
%Y Cf. A008683, A018805, A128407, A143315.
%K tabl,sign
%O 1,2
%A _Gary W. Adamson_, Aug 17 2008
%E a(9) corrected and more terms from _Georg Fischer_, Aug 14 2023