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A153659
Triangle read by rows. A074206 interleaved with k-1 zeros in the k-th column.
0
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.
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
Sequence in context: A363338 A290260 A304273 * A305565 A300060 A300056
KEYWORD
nonn,tabl
AUTHOR
Mats Granvik, Dec 30 2008
STATUS
approved