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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.
0
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.
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
KEYWORD
sign,tabl
AUTHOR
Mats Granvik, Sep 21 2008
STATUS
approved