%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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