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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 (list; table; graph; refs; listen; history; text; internal format)
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 A127247 A127244 * A143142 A174856 A175608

Adjacent sequences:  A144775 A144776 A144777 * A144779 A144780 A144781

KEYWORD

sign,tabl

AUTHOR

Mats Granvik, Sep 21 2008

STATUS

approved

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Last modified December 2 08:13 EST 2020. Contains 338868 sequences. (Running on oeis4.)