A143518 - OEIS

%I #2 Mar 30 2012 17:25:32

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

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

%N Triangle read by rows, A054525 * (A010051 * 0^(n-k)), 1<=k<=n.

%C Row sums = A143519: (0, 1, 1, -1, 1, -2, 1, 0, -1,...)

%F Triangle read by rows, A054525 * A010051, 1<=k<=n. A054525 = the Mobius transform. A010051 * 0^(n-k) = an infinite lower triangular matrix with A010051, the characteristic function of the primes (0, 1, 1, 0, 1, 0, 1,...) as the main diagonal and the rest zeros.

%e First few rows of the triangle =

%e 0;

%e 0, 1;

%e 0, 0, 1;

%e 0, -1, 0, 0;

%e 0, 0, 0, 0, 1;

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

%e 0, 0, 0, 0, 0, 0, 1;

%e ...

%Y Cf. A010051, A054525.

%K tabl,sign

%O 1,1

%A _Gary W. Adamson_, Aug 22 2008