A144778 Square array T(n,k) read by antidiagonals upwards. Mobius function interleaved with k-1 zeros in each column. Every second value in the first row is either 1 or -1. Redheffer type matrix.

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

Offset: 1

Author

Mats Granvik, Sep 21 2008

Keywords

• sign
• tabl

Comments

The determinant of this matrix appears to be A059841.

Examples

			Table begins:
.1.-1..1.-1..1.-1..1
-1..1..0..0..0..0..0
-1..0..1..0..0..0..0
.0.-1..0..1..0..0..0
-1..0..0..0..1..0..0
.1.-1.-1..0..0..1..0
-1..0..0..0..0..0..1
		

Crossrefs

Cf. A008683, A059841, A143142.

Formula

T(n,k) = if(n==1 then if(k mod 2==0 then -1 else 1) else if(n mod k == 0 then A008683(n/k) else 0)).