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

1, 0, -1, 0, 0, 1, 0, -1, -1, -1, 1, 1, -1, 0, 1, 0, 0, -1, 0, 1, 1, 1, -1, -1

Offset

1,1

Comments

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.

Links

Table of n, a(n) for n=1..24.

Example

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;

Crossrefs

Sequence in context: A104104 A188467 A039983 * A361465 A145273 A295892

Adjacent sequences: A152487 A152488 A152489 * A152491 A152492 A152493

Keyword

fini,full,sign

Author

Mats Granvik, Dec 06 2008

Status

approved