A153659 Triangle read by rows. A074206 interleaved with k-1 zeros in the k-th column.

1, 1, 1, 1, 0, 1, 2, 1, 0, 1, 1, 0, 0, 0, 1, 3, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 4, 2, 0, 1, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 8, 3, 2, 1, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 3, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1

Offset

1,7

Comments

By moving the term in the lower right corner to the upper right corner and then calculating the determinant one gets the sequence 1,-1,-1,-1,-1,-1,-1,-1,... The contributing permutation matrices have the same signs as the contributing permutation matrices in the Möbius function determinant. It is conjectured that their number is A074206.

Links

Table of n, a(n) for n=1..105.

Example

Table begins: 1; 1,1; 1,0,1; 2,1,0,1; 1,0,0,0,1; 3,1,1,0,0,1; 1,0,0,0,0,0,1; 4,2,0,1,0,0,0,1; 2,0,1,0,0,0,0,0,1; 3,1,0,0,1,0,0,0,0,1;

Prog

(Excel) =if(mod(row(); column())=0; lookup(row()/column(); A000027; A074206); 0)

Crossrefs

Cf. A008683, A074206.

Sequence in context: A363338 A290260 A304273 * A305565 A300060 A300056

Adjacent sequences: A153656 A153657 A153658 * A153660 A153661 A153662

Keyword

nonn,tabl

Author

Mats Granvik, Dec 30 2008

Status

approved