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A331439
Number of singular n X n matrices whose rows are distinct (0,1) vectors arranged in increasing order.
0
1, 3, 27, 880, 97090, 34923518, 40885781314
OFFSET
1,2
COMMENTS
It appears that the determinant is computed over the rationals, not over GF(2).
REFERENCES
M. B. Wells, Elements of Combinatorial Computing, Pergamon, Oxford, 1971.
LINKS
J. S. Huang and B. L. Raktoe, A note on the proportion of singular (0, 1)-matrices in a class associated with fractional 2n factorial designs, Journal of Combinatorial Theory, Series A 22.2 (1977): 231-234.
EXAMPLE
The three 2 X 2 matrices are [00/01], [00/10], [00/11].
CROSSREFS
Sequence in context: A326086 A194500 A012505 * A085521 A377760 A009066
KEYWORD
nonn,more
AUTHOR
N. J. A. Sloane, Jan 21 2020
STATUS
approved