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%I #5 Mar 30 2012 18:59:06
%S 1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
%T 1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
%U 1,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1
%N A Moebius-binomial triangle.
%C n-th row is all 1's unless n is not squarefree (see A013929). Row sums are A105587. Diagonal sums are A105588. Inverse is A105589.
%F Number triangle T(n, k)=if(k<=n, binomial(abs(mu(n)), abs(mu(k))), 0)
%e Triangle starts
%e 1;
%e 1,1;
%e 1,1,1;
%e 1,1,1,1;
%e 0,0,0,0,1;
%e 1,1,1,1,1,1;
%e 1,1,1,1,1,1,1;
%e 1,1,1,1,1,1,1,1;
%e 0,0,0,0,1,0,0,0,1;
%K easy,nonn,tabl
%O 0,1
%A _Paul Barry_, Apr 14 2005
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