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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

%I #2 Mar 31 2012 19:53:15

%S 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,

%T -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,

%U 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

%N 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.

%C The determinant of this matrix appears to be A059841.

%F 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)).

%e Table begins:

%e .1.-1..1.-1..1.-1..1

%e -1..1..0..0..0..0..0

%e -1..0..1..0..0..0..0

%e .0.-1..0..1..0..0..0

%e -1..0..0..0..1..0..0

%e .1.-1.-1..0..0..1..0

%e -1..0..0..0..0..0..1

%Y Cf. A008683, A059841, A143142.

%K sign,tabl

%O 1,1

%A _Mats Granvik_, Sep 21 2008

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Last modified August 22 05:29 EDT 2024. Contains 375356 sequences. (Running on oeis4.)