A057980 Let n be a positive integer, n>3. Define a tournament on the vertex set {2,3,..,n} by: for i < j, i is adjacent to j if i divides j, else j is adjacent to i. If T(n) denotes its adjacency matrix, then the above sequence is det(T(n))for n=4,5,6....42.

1, 0, 2, 0, 2, -6, 14, 0, 44, 0, 18, -214, 308, 0, 168, 0, 516, -2008, 2328, 0, 14232, -11124, 15552, -29556, 95592, 0, 244464, 0, 250344, -1012558, 1292240, -5809920, 11906420, 0, -5994822, -7669356, 64935420, 0, 40213980

Offset

4,3

Comments

MATLAB program was used to generate the tournament matrices T(n) and evaluate determinants. Obviously det(T(n))=0 if n is prime.

Links

Table of n, a(n) for n=4..42.

Crossrefs

Sequence in context: A303345 A175802 A161803 * A242840 A081081 A111111

Adjacent sequences: A057977 A057978 A057979 * A057981 A057982 A057983

Keyword

sign

Author

Rohan Hemasinha (rhemasin(AT)uwf.edu), Nov 27 2000

Status

approved