Search: id:A002884
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%I A002884 M4302 N1798
%S A002884 1,1,6,168,20160,9999360,20158709760,163849992929280,5348063769211699200,
%T A002884 699612310033197642547200,366440137299948128422802227200,
%U A002884 768105432118265670534631586896281600
%N A002884 Number of nonsingular n X n matrices over GF(2) (order of Chevalley group 
               A_n (2)).
%C A002884 Also (apparently) number of n X n matrices over GF(2) having permanent 
               = 1. - Hugo Pfoertner (hugo(AT) pfoertner.org), Nov 14 2003. This 
               is true because over GF(2) permanents and determinants are the same! 
               - Joerg Arndt (arndt(AT)jjj.de), Mar 07 2008
%D A002884 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A002884 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 
               (includes this sequence).
%D A002884 J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker and R. A. Wilson, 
               ATLAS of Finite Groups. Oxford Univ. Press, 1985, p. xvi.
%D A002884 H. S. M. Coxeter and W. O. J. Moser, Generators and Relations for Discrete 
               Groups, 4th ed., Springer-Verlag, NY, reprinted 1984, p. 131.
%D A002884 P. F. Duvall, Jr. and P. W. Harley, III, A note on counting matrices, 
               SIAM J. Appl. Math., 20 (1971), 374-377.
%D A002884 Kent E. Morrison, Integer Sequences and Matrices Over Finite Fields, 
               Journal of Integer Sequences, Vol. 9 (2006), Article 06.2.1.
%D A002884 I. Strazdins, Universal affine classification of Boolean functions, Acta 
               Applic. Math. 46 (1997), 147-167.
%H A002884 T. D. Noe, <a href="b002884.txt">Table of n, a(n) for n=0..30</a>
%H A002884 J. Overbey, W. Traves and J. Wojdylo, <a href="http://jeff.over.bz/papers/
               undergrad/on-the-keyspace-of-the-hill-cipher.pdf">On the Keyspace 
               of the Hill Cipher</a>
%H A002884 <a href="Sindx_Mat.html#binmat">Index entries for sequences related to 
               binary matrices</a>
%F A002884 Product(2^n-2^i, i=0..n-1); or 2^(n*(n-1)/2) * product( 2^i - 1, i=1..n).
%p A002884 product(2^n-2^i,i=0..n-1); or 2^(n*(n-1)/2) * product( 2^i - 1, i=1..n);
%Y A002884 Cf. A000409, A000410, A002820, A046747, A048651.
%Y A002884 Sequence in context: A104729 A106661 A003720 this_sequence A166762 A055165 
               A071095
%Y A002884 Adjacent sequences: A002881 A002882 A002883 this_sequence A002885 A002886 
               A002887
%K A002884 nonn,easy,nice
%O A002884 0,3
%A A002884 N. J. A. Sloane (njas(AT)research.att.com).

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