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!)
A060704 Singular n X n matrices over GF(2). 2

%I #17 Jul 03 2018 02:25:37

%S 1,10,344,45376,23555072,48560766976,399099960492032,

%T 13098680304497852416,1718239329196060706865152,

%U 901210462928281273073900978176,1890350559451566075272982533664407552

%N Singular n X n matrices over GF(2).

%C Also (apparently) number of n X n matrices over GF(2) having permanent = 0. - _Hugo Pfoertner_, Nov 14 2003

%H Harry J. Smith, <a href="/A060704/b060704.txt">Table of n, a(n) for n = 1..57</a>

%H <a href="/index/Mat#binmat">Index entries for sequences related to binary matrices</a>

%F For n >= 1 a(n) = 2^(n^2) - A002884(n) = A002416(n) - A002884(n) = 2^(n^2) - Product_{i=0..n-1} (2^n - 2^i).

%p for n from 1 to 20 do printf(`%d,`,2^(n^2) - product(2^n - 2^j, j=0..n-1)) od:

%o (PARI) a(n)={2^(n^2) - prod(i=0, n-1, 2^n - 2^i)} \\ _Harry J. Smith_, Jul 09 2009

%Y Cf. A002884, A002416.

%K nonn

%O 1,2

%A Ahmed Fares (ahmedfares(AT)my-deja.com), Apr 20 2001

%E More terms from _James A. Sellers_, Apr 23 2001

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 April 19 17:38 EDT 2024. Contains 371797 sequences. (Running on oeis4.)