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%I #5 Mar 31 2012 12:36:26
%S 1,99,1068,12515,160347,1921822,23946130,294598355,3633351823,
%T 44727792165,551403942858,6795075196272,83731843282741,
%U 1031848028281460,12715479852445067,156693802189196311,1930948033440945770
%N Number of nX7 0..4 arrays with each element x equal to the number its horizontal and vertical neighbors equal to 1,3,4,0,2 for x=0,1,2,3,4
%C Every 0 is next to 0 1's, every 1 is next to 1 3's, every 2 is next to 2 4's, every 3 is next to 3 0's, every 4 is next to 4 2's
%C Column 7 of A196646
%H R. H. Hardin, <a href="/A196645/b196645.txt">Table of n, a(n) for n = 1..200</a>
%F Empirical: a(n) = 4*a(n-1) +54*a(n-2) +430*a(n-3) +1752*a(n-4) +4911*a(n-5) -2859*a(n-6) -88133*a(n-7) -276422*a(n-8) +934693*a(n-9) +1498363*a(n-10) -8347884*a(n-11) +5422238*a(n-12) +16248266*a(n-13) -7218349*a(n-14) -84841565*a(n-15) +139918257*a(n-16) +352441875*a(n-17) -1333915550*a(n-18) +1306598129*a(n-19) +519045220*a(n-20) +580596461*a(n-21) -4643997438*a(n-22) +961119039*a(n-23) +21234186140*a(n-24) -86802922361*a(n-25) +161756651156*a(n-26) -198229036202*a(n-27) +146518225099*a(n-28) -53582701458*a(n-29) -49737864912*a(n-30) +29506676619*a(n-31) +71163837850*a(n-32) -22168248819*a(n-33) +47949692795*a(n-34) -183013117703*a(n-35) -19016957822*a(n-36) +217661606590*a(n-37) +15366151628*a(n-38) +29888410998*a(n-39) -31422048012*a(n-40) -48633108425*a(n-41) -50309752*a(n-42) +18945892681*a(n-43) +27154960959*a(n-44) +16912005704*a(n-45) -10012779577*a(n-46) -20774121716*a(n-47) -7712601911*a(n-48) -427368533*a(n-49) +1543133332*a(n-50) +826099047*a(n-51) -843931190*a(n-52) -1114295404*a(n-53) -361877969*a(n-54) +198870914*a(n-55) +103294987*a(n-56) -83508804*a(n-57) -113498074*a(n-58) -67568105*a(n-59) -20409701*a(n-60) -5334859*a(n-61) +290393*a(n-62) +772940*a(n-63) +243932*a(n-64) +99179*a(n-65) +40750*a(n-66) +4160*a(n-67) -1478*a(n-68) -409*a(n-69) -151*a(n-70) -31*a(n-71) -3*a(n-72) +a(n-73)
%e Some solutions for n=4
%e ..0..0..3..0..0..3..0....0..0..0..0..3..0..0....0..3..0..3..0..0..0
%e ..0..0..0..3..3..0..0....0..0..0..0..0..0..3....3..0..3..0..0..0..0
%e ..3..0..0..0..0..0..3....3..0..0..0..3..3..0....0..0..3..0..0..0..3
%e ..0..0..0..3..0..0..0....0..0..3..0..0..0..0....0..0..0..3..0..3..0
%K nonn
%O 1,2
%A _R. H. Hardin_ Oct 04 2011
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