A176890 Triangle T(n,k) read by rows. Signed subsequence of A051731.

-1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0

Offset: 1

Author

Mats Granvik and Gary W. Adamson, Apr 28 2010

Keywords

• sign
• tabl

Comments

Let A=A176890*A176890, B=A*A, C=B*B, D=C*C and so on, then the leftmost column in the last matrix converges to the Moebius function A008683.

Examples

			Table begins:
-1,
1,0,
1,0,0,
1,1,0,0,
1,0,0,0,0,
1,1,1,0,0,0,
1,0,0,0,0,0,0,
1,1,0,1,0,0,0,0,
1,0,1,0,0,0,0,0,0,
1,1,0,0,1,0,0,0,0,0,
		

Crossrefs

Cf. A051731, A008683.

This is A176918 * the diagonalized mu(n).

Programs

Excel

=if(and(row()=1;column()=1);-1;if(mod(row();column())=0;1;0)-if(and(column()>1;row()=column());1;0))

Formula

T(n,k) = if n=1 and k=1 then -1 elseif n=k then 0 elseif k divides n then 1 else 0.