A306837 Number of unimodular n X n matrices with elements {0, 1}.

1, 6, 168, 20040, 9702720, 18480102480, 135491563468800, 3766962568171582080

Offset: 1

Author

Steven E. Thornton, Mar 12 2019

Keywords

• nonn
• more
• hard

Comments

An integer matrix is unimodular if its determinant is -1 or +1.

Links

• S. E. Thornton, Properties of the Bohemian family of n x n matrices with population {0, 1}, Characteristic Polynomial Database.

Crossrefs

Number of different values taken by the determinant is in A089472.

Maximum determinant is in A003432.

A363862 gives equivalence classes up to row and column permutation.

Extensions

a(7) and a(8) from Brendan McKay, Jun 25 2023