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%I #5 Mar 31 2012 12:37:18
%S 10,100,358,1307,5458,19909,68807,243954,851870,2913994,9973355,
%T 34091714,115887871,393267367,1334118596,4519810862,15299142694,
%U 51772884227,175141804206,592296849671,2002747670245,6771221110994,22890878459054
%N Number of 4Xn 0..1 arrays avoiding 0 0 1 and 0 1 0 horizontally and 0 1 0 and 1 0 1 vertically
%C Row 4 of A207519
%H R. H. Hardin, <a href="/A207520/b207520.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) -12*a(n-2) +39*a(n-3) -140*a(n-4) +171*a(n-5) -344*a(n-6) +1128*a(n-7) -630*a(n-8) +1074*a(n-9) -5032*a(n-10) -196*a(n-11) -1552*a(n-12) +16522*a(n-13) +7292*a(n-14) +1958*a(n-15) -40098*a(n-16) -26944*a(n-17) -3424*a(n-18) +68042*a(n-19) +53864*a(n-20) +7280*a(n-21) -81638*a(n-22) -65348*a(n-23) -9198*a(n-24) +67390*a(n-25) +50740*a(n-26) +5022*a(n-27) -37983*a(n-28) -23800*a(n-29) -594*a(n-30) +14633*a(n-31) +6308*a(n-32) -1205*a(n-33) -3792*a(n-34) -684*a(n-35) +688*a(n-36) +730*a(n-37) -34*a(n-38) -170*a(n-39) -100*a(n-40) +8*a(n-41) +16*a(n-42) +8*a(n-43)
%e Some solutions for n=4
%e ..0..1..1..1....0..0..0..0....1..0..0..0....0..1..1..1....0..1..1..0
%e ..1..0..1..1....0..0..0..0....0..1..1..0....0..0..0..0....1..1..0..0
%e ..1..0..0..0....1..0..0..0....0..1..1..1....1..0..0..0....1..0..0..0
%e ..1..0..0..0....1..1..0..1....1..1..1..1....1..0..1..1....0..0..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 18 2012
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