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A057982 Number of singular n X n (-1,1)-matrices. 1
0, 8, 320, 43264, 22003712, 43090149376, 326720427917312, 9588057159626653696, 1086099857128493963804672 (list; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

a(n) = 2^(2n-1)*A046747(n-1). - Kevin Costello, May 18 2005

LINKS

Table of n, a(n) for n=1..9.

R. P. Brent and J. H. Osborn, Bounds on minors of binary matrices, arXiv preprint arXiv:1208.3330 [math.CO], 2012. - From N. J. A. Sloane, Dec 25 2012

Konstantin Tikhomirov, Singularity of random Bernoulli matrices, arXiv preprint arXiv:1812.09016 [math.PR], 2018-2019.

Eric Weisstein's World of Mathematics, Singular Matrix.

FORMULA

a(n)/2^(n^2) ~ (1/2 + o_n(1))^n (proved by Tikhomirov). - Timothy Y. Chow, Jan 17 2019

CROSSREFS

Complement of A056990.

Cf. A046747.

Sequence in context: A282621 A300189 A227657 * A041769 A209277 A182275

Adjacent sequences:  A057979 A057980 A057981 * A057983 A057984 A057985

KEYWORD

nonn,more

AUTHOR

Eric W. Weisstein, Oct 23 2000

EXTENSIONS

More terms from Kevin Costello, May 18 2005

a(6)-a(9) from Herman Jamke (hermanjamke(AT)fastmail.fm), Apr 18 2008

STATUS

approved

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Last modified March 21 07:23 EDT 2019. Contains 321367 sequences. (Running on oeis4.)