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Triangle read by rows. A074206 interleaved with k-1 zeros in the k-th column.
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%I #9 Aug 26 2017 20:34:25

%S 1,1,1,1,0,1,2,1,0,1,1,0,0,0,1,3,1,1,0,0,1,1,0,0,0,0,0,1,4,2,0,1,0,0,

%T 0,1,2,0,1,0,0,0,0,0,1,3,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,8,3,

%U 2,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,3,1,0,0,0,0,1,0,0,0,0,0,0,1

%N Triangle read by rows. A074206 interleaved with k-1 zeros in the k-th column.

%C By moving the term in the lower right corner to the upper right corner and then calculating the determinant one gets the sequence 1,-1,-1,-1,-1,-1,-1,-1,... The contributing permutation matrices have the same signs as the contributing permutation matrices in the Möbius function determinant. It is conjectured that their number is A074206.

%e Table begins: 1; 1,1; 1,0,1; 2,1,0,1; 1,0,0,0,1; 3,1,1,0,0,1; 1,0,0,0,0,0,1; 4,2,0,1,0,0,0,1; 2,0,1,0,0,0,0,0,1; 3,1,0,0,1,0,0,0,0,1;

%o (Excel) =if(mod(row();column())=0;lookup(row()/column();A000027;A074206);0)

%Y Cf. A008683, A074206.

%K nonn,tabl

%O 1,7

%A _Mats Granvik_, Dec 30 2008