%I #5 Mar 31 2012 12:35:51
%S 8,8,32,242,1152,6962,38642,220448,1267232,7242818,41641938,239104712,
%T 1373823362,7896474450,45382408992,260867312672,1499503275848,
%U 8619568608008,49548523781250,284823670502898,1637284504411250
%N Half the number of nX4 binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors
%C Column 4 of A183402
%H R. H. Hardin, <a href="/A183400/b183400.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n)=7*a(n-1)+9*a(n-2)-97*a(n-3)-120*a(n-4)+838*a(n-5)+583*a(n-6)-4206*a(n-7)-624*a(n-8)+12123*a(n-9)-3315*a(n-10)-22752*a(n-11)+21049*a(n-12)+24140*a(n-13)-56478*a(n-14)-646*a(n-15)+83495*a(n-16)-31249*a(n-17)-80941*a(n-18)+37933*a(n-19)+66083*a(n-20)-26176*a(n-21)-52120*a(n-22)+18250*a(n-23)+33570*a(n-24)-14461*a(n-25)-14422*a(n-26)+8548*a(n-27)+3617*a(n-28)-3175*a(n-29)-362*a(n-30)+704*a(n-31)-43*a(n-32)-84*a(n-33)+12*a(n-34)+5*a(n-35)-a(n-36) for n>37
%e Some solutions with a(1,1)=0 for 6X4
%e ..0..0..0..0....0..0..1..0....0..1..0..1....0..1..0..0....0..0..1..0
%e ..1..1..1..0....1..1..1..0....1..1..0..0....0..1..1..1....1..1..1..0
%e ..1..0..1..0....0..1..0..1....0..0..1..0....0..1..1..0....0..0..1..0
%e ..1..0..1..0....0..0..0..1....1..1..1..0....0..0..1..0....1..0..1..0
%e ..1..0..1..1....1..0..1..0....0..0..1..0....1..1..0..0....1..1..1..1
%e ..1..0..0..0....1..0..1..0....1..1..1..0....0..1..1..1....0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 04 2011
|