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%I #5 Mar 31 2012 12:37:16
%S 25,625,12468,244134,4752484,92438519,1799496100,35036066712,
%T 682243342430,13285382401983,258709556131828,5037920703787458,
%U 98104762268330333,1910419706227476571,37202099248377672015
%N Number of nX3 0..2 arrays avoiding the pattern z+1 z+1 z horizontally and z-1 z-1 z vertically
%C Column 3 of A207358
%H R. H. Hardin, <a href="/A207353/b207353.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 25*a(n-1) -51*a(n-2) -1449*a(n-3) +4497*a(n-4) +56080*a(n-5) -195326*a(n-6) -1092458*a(n-7) +3792966*a(n-8) +14909978*a(n-9) -46825819*a(n-10) -56152375*a(n-11) +266436042*a(n-12) +12699008*a(n-13) -903512455*a(n-14) +68308437*a(n-15) +2829180642*a(n-16) +31615026*a(n-17) -8360870820*a(n-18) +2894963886*a(n-19) +17815106543*a(n-20) -9225942481*a(n-21) -31018293245*a(n-22) +10847234792*a(n-23) +55730103228*a(n-24) -28827979155*a(n-25) -79354744925*a(n-26) +61335560568*a(n-27) +78792129575*a(n-28) -46870664050*a(n-29) -80119327238*a(n-30) +52702395760*a(n-31) +74040744475*a(n-32) -101289126740*a(n-33) -28552713320*a(n-34) +69913137070*a(n-35) -7705787663*a(n-36) -13281937110*a(n-37) +6536331914*a(n-38) -4000594404*a(n-39) -1669071040*a(n-40) +3633531679*a(n-41) -368116652*a(n-42) -525682843*a(n-43) +175019201*a(n-44) -35415944*a(n-45) -23068825*a(n-46) +38059786*a(n-47) -2122737*a(n-48) -4308110*a(n-49) +1225952*a(n-50) +223268*a(n-51) -98608*a(n-52) +45718*a(n-53) +2988*a(n-54) -1920*a(n-55) +1232*a(n-56) -272*a(n-57) +32*a(n-58)
%e Some solutions for n=4
%e ..2..0..2....1..2..2....1..2..2....0..0..2....1..2..1....2..2..2....1..0..1
%e ..1..1..1....0..0..1....2..1..2....0..0..2....1..1..1....2..0..0....2..0..2
%e ..1..0..0....1..2..0....2..2..2....0..0..0....1..0..1....2..0..0....0..2..2
%e ..1..2..2....1..2..1....2..1..1....2..2..0....0..1..0....2..2..2....2..0..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 17 2012
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