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%I #5 Mar 31 2012 12:37:17
%S 20,400,1260,7130,31110,95220,353808,1047717,3056647,8773795,23208895,
%T 61308120,155644140,385081690,938448639,2231352160,5231232640,
%U 12073401891,27463516024,61756669106,137220631975,301814503696
%N Number of 7Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 0 1 1 vertically
%C Row 7 of A207368
%H R. H. Hardin, <a href="/A207372/b207372.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 7*a(n-1) -11*a(n-2) -19*a(n-3) +24*a(n-4) +148*a(n-5) -154*a(n-6) -372*a(n-7) +64*a(n-8) +1196*a(n-9) +12*a(n-10) -1502*a(n-11) -1463*a(n-12) +1885*a(n-13) +1364*a(n-14) +844*a(n-15) -1509*a(n-16) -469*a(n-17) -3160*a(n-18) +1214*a(n-19) +1531*a(n-20) +3827*a(n-21) -2031*a(n-22) +283*a(n-23) -3360*a(n-24) +392*a(n-25) -1491*a(n-26) +3515*a(n-27) -479*a(n-28) +1537*a(n-29) -1768*a(n-30) +618*a(n-31) -1700*a(n-32) +920*a(n-33) -429*a(n-34) +847*a(n-35) -416*a(n-36) +424*a(n-37) -379*a(n-38) +133*a(n-39) -165*a(n-40) +119*a(n-41) -67*a(n-42) +59*a(n-43) -23*a(n-44) +13*a(n-45) -11*a(n-46) +5*a(n-47) -3*a(n-48) +a(n-49)
%e Some solutions for n=4
%e ..1..0..0..1....1..0..1..0....0..1..0..1....0..1..0..1....0..1..0..0
%e ..0..1..0..0....0..0..1..0....1..0..1..0....1..1..1..1....0..0..1..0
%e ..1..0..0..1....1..0..1..0....0..1..0..1....0..1..0..1....0..1..0..0
%e ..0..1..0..0....0..0..1..0....0..0..1..0....1..0..0..1....0..0..1..0
%e ..1..0..0..1....1..0..1..0....0..1..0..1....0..1..0..0....0..1..0..0
%e ..0..1..0..0....0..0..1..0....0..0..1..0....1..0..0..1....0..0..1..0
%e ..1..0..0..1....1..0..1..0....0..1..0..0....0..1..0..0....0..1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 17 2012
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