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A181101 Triangle T(n,k) read by rows. T(1,1)=-1, n>1: If n/k=A020639(n) then 1 else 0. 2

%I #2 Mar 30 2012 18:53:10

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

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

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

%N Triangle T(n,k) read by rows. T(1,1)=-1, n>1: If n/k=A020639(n) then 1 else 0.

%C Let A=T(n,k)*T(n,k), B=A*A, C=B*B, D=C*C, and so on. Then the first column in the last matrix (D) converges to the Liouville function.

%e Triangle starts:

%e -1,

%e 1,0,

%e 1,0,0,

%e 0,1,0,0,

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

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

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

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

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

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

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

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

%Y Cf. A020639, A008836.

%K sign,tabl

%O 1,1

%A _Mats Granvik_, Oct 03 2010

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