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A331439 Number of singular n X n matrices whose rows are distinct (0,1) vectors arranged in increasing order. 0

%I #7 Jan 23 2020 03:39:01

%S 1,3,27,880,97090,34923518,40885781314

%N Number of singular n X n matrices whose rows are distinct (0,1) vectors arranged in increasing order.

%C It appears that the determinant is computed over the rationals, not over GF(2).

%D M. B. Wells, Elements of Combinatorial Computing, Pergamon, Oxford, 1971.

%H J. S. Huang and B. L. Raktoe, <a href="https://doi.org/10.1016/0097-3165(77)90052-8">A note on the proportion of singular (0, 1)-matrices in a class associated with fractional 2n factorial designs</a>, Journal of Combinatorial Theory, Series A 22.2 (1977): 231-234.

%e The three 2 X 2 matrices are [00/01], [00/10], [00/11].

%K nonn,more

%O 1,2

%A _N. J. A. Sloane_, Jan 21 2020

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Last modified April 24 02:28 EDT 2024. Contains 371917 sequences. (Running on oeis4.)