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Triangle read by rows, 1<=k<=n: T(n,k) = mu(n^2 + k^2) with mu=A008683.
2

%I #3 Mar 30 2012 18:50:57

%S -1,-1,0,1,-1,0,-1,0,0,0,1,-1,1,-1,0,-1,0,0,0,-1,0,0,-1,1,1,1,1,0,1,0,

%T -1,0,-1,0,-1,0,1,1,0,-1,1,0,-1,1,0,-1,0,-1,0,0,0,-1,0,-1,0,1,0,-1,-1,

%U 1,-1,-1,1,1,1,0,1,0,0,0,0,0,-1,0,0,0,1,0,-1,-1,1,1,1,1,1,-1,0,-1,-1,-1,0,-1,0,1,0,1,0,0,0,-1,0,-1,0,1,0,1,-1,0,-1,0,0

%N Triangle read by rows, 1<=k<=n: T(n,k) = mu(n^2 + k^2) with mu=A008683.

%C T(n,k) = A008683(A070216(n,k));

%C T(n,1)=A124897(1);T(A049533(n),1)<>0; T(A049532(n),1)=0;

%C T(n,n) = -A000007(n-1);

%C A124896(n) = Sum(abs(T(n,k)): 1<=k<=n), row sums of absolute values.

%K sign,tabl

%O 1,1

%A _Reinhard Zumkeller_, Nov 12 2006