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A306837
Number of unimodular n X n matrices with elements {0, 1}.
2
1, 6, 168, 20040, 9702720, 18480102480, 135491563468800, 3766962568171582080
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OFFSET
1,2
COMMENTS
An integer matrix is unimodular if its determinant is -1 or +1.
LINKS
Table of n, a(n) for n=1..8.
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.
Sequence in context: A322708 A181013 A003720 * A002884 A198176 A264358
Adjacent sequences: A306834 A306835 A306836 * A306838 A306839 A306840
KEYWORD
nonn,more,hard
AUTHOR
Steven E. Thornton, Mar 12 2019
EXTENSIONS
a(7) and a(8) from Brendan McKay, Jun 25 2023
STATUS
approved

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Last modified December 2 15:05 EST 2024. Contains 378328 sequences.
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