1,1

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.

The 3x3 array is shorter to write down:

By using indices similar to array A152489;

0,0,0; 0,0,1; 0,0,2; 0,1,0; 0,1,1; 0,1,2;

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

1,0,0; 1,0,0; 1,0,1; 1,1,0; 1,1,0; 1,1,1;

1,1,0; 1,1,1; 1,1,0; 1,0,0; 1,0,1; 1,0,0;

1,0,1; 1,0,0; 1,0,0; 1,1,1; 1,1,0; 1,1,0;

and the determinants are then:

1; 0; -1; -1; 0; 1;

Sequence in context: A104104 A078588 A039983 this_sequence A145273 A120522 A157423

Adjacent sequences: A152487 A152488 A152489 this_sequence A152491 A152492 A152493

fini,full,sign

Mats Granvik (mats.granvik(AT)abo.fi), Dec 06 2008