login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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 * A308615 A041769 A209277
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

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 09:04 EDT 2024. Contains 371240 sequences. (Running on oeis4.)