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A152490 Determinants of first 4x4 part of A051731 whose columns has been shifted with sequence A152489. 1

%I #2 Mar 30 2012 18:53:09

%S 1,0,-1,0,0,1,0,-1,-1,-1,1,1,-1,0,1,0,0,-1,0,1,1,1,-1,-1

%N Determinants of first 4x4 part of A051731 whose columns has been shifted with sequence A152489.

%C The idea is to shift the columns in A051731 one column one step at a time like the changing symbols in a slot machine. For example a(1)=1 is the unshifted version of A051731 and for a(4)=0, the last column has been shifted 3 steps upwards, which is the fourth value of the mobius function. Sequence contains equally many values of 1,-1 and 0.

%e The 3x3 array is shorter to write down:

%e By using indices similar to array A152489;

%e 0,0,0; 0,0,1; 0,0,2; 0,1,0; 0,1,1; 0,1,2;

%e the columns in A051731 are shifted like in a slot machine;

%e 1,0,0; 1,0,0; 1,0,1; 1,1,0; 1,1,0; 1,1,1;

%e 1,1,0; 1,1,1; 1,1,0; 1,0,0; 1,0,1; 1,0,0;

%e 1,0,1; 1,0,0; 1,0,0; 1,1,1; 1,1,0; 1,1,0;

%e and the determinants are then:

%e 1; 0; -1; -1; 0; 1;

%K fini,full,sign

%O 1,1

%A _Mats Granvik_, Dec 06 2008

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Last modified April 14 20:39 EDT 2024. Contains 371667 sequences. (Running on oeis4.)