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

1,1

Comments

The determinant of this matrix appears to be A059841.

Links

Table of n, a(n) for n=1..96.

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)).

Example

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.

Sequence in context: A204441 A127244 A127247 * A143142 A174856 A175608

Adjacent sequences: A144775 A144776 A144777 * A144779 A144780 A144781

Keyword

sign,tabl

Author

Mats Granvik, Sep 21 2008

Status

approved