%I A006382 M3814
%S A006382 1,1,5,11,41,101,301,757,1981,4714,11133,24763,53818,111941,226857,
%T A006382 444260,848620,1576226,2862426,5077454,8827758,15043096,25183794,
%U A006382 41434222,67108437,107051463,168402958,261384026,400684767,606936536
%N A006382 Number of n X 4 binary matrices under row and column permutations and 
               column complementations.
%D A006382 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, 
               Academic Press, 1995 (includes this sequence).
%D A006382 M. A. Harrison, On the number of classes of binary matrices, IEEE Trans. 
               Computers, 22 (1973), 1048-1051.
%H A006382 <a href="Sindx_Mat.html#binmat">Index entries for sequences related to 
               binary matrices</a>
%F A006382 G.f. : (1/(1 - x^1)^16 + 51/(1 - x^2)^8 + 12/(1 - x^1)^8/(1 - x^2)^4 
               + 84/(1 - x^4)^4 + 12/(1 - x^1 )^4/(1 - x^2)^6 + 32/(1 - x^1)^4/(1 
               - x^3)^4 + 96/(1 - x^2)^2/(1 - x^6)^2 + 48/(1 - x^1)^2/(1 - x^2)^1/
               (1 - x^4)^3 + 48/(1 - x^8)^2)/384.
%e A006382 Representatives of the five classes of 2 X 4 binary matrices are:
%e A006382 [ 1 1 1 1 ] [ 1 1 1 0 ] [ 1 1 0 1 ] [ 1 0 1 1 ] [ 0 1 1 1 ]
%e A006382 [ 1 1 1 1 ] [ 1 1 1 1 ] [ 1 1 1 0 ] [ 1 1 0 0 ] [ 1 0 0 0 ].
%Y A006382 Cf. A005232, A006380, A006381, A002727, A006148.
%Y A006382 Sequence in context: A023271 A159049 A047976 this_sequence A055113 A129015 
               A141355
%Y A006382 Adjacent sequences: A006379 A006380 A006381 this_sequence A006383 A006384 
               A006385
%K A006382 nonn
%O A006382 0,3
%A A006382 N. J. A. Sloane (njas(AT)research.att.com).
%E A006382 Entry revised by Vladeta Jovovic (vladeta(AT)eunet.rs), Aug 05 2000