A145379 Square array read by antidiagonals upwards: T(n,k) = 1 if n divides k, T(n,k) = 0 otherwise, n >= 1, k >= 2.

1, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0

Offset: 1

Author

Mats Granvik, Oct 09 2008

Keywords

• nonn
• tabl

Comments

This array is used in the proof of the Moebius function as a zero corner determinant of the Redheffer matrix. This table is the transpose of A051731 where the first row has been deleted.

Examples

			Table begins:
1,1,1,1,1,1,1,...
1,0,1,0,1,0,1,...
0,1,0,0,1,0,0,...
0,0,1,0,0,0,1,...
0,0,0,1,0,0,0,...
0,0,0,0,1,0,0,...
0,0,0,0,0,1,0,...
...
		

Crossrefs

Cf. A008683, A051731, A143104.

Programs

Excel

=if(mod(column()+1;row())=0;1;0)