A153659 Triangle read by rows. A074206 interleaved with k-1 zeros in the k-th column.

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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 3, 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

Offset: 1

Author

Mats Granvik, Dec 30 2008

Keywords

• nonn
• tabl

Comments

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.

Examples

			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;
  ...
		

Crossrefs

Cf. A008683, A074206.

Programs

Excel

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