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%I #5 Mar 31 2012 12:37:07
%S 476,6020,79644,1042382,13544456,176994692,2306581930,30091040770,
%T 392413398860,5118080533042,66749915011740,870564329275570,
%U 11354001135466616,148080426962160126,1931284128582993192
%N Number of 3X(n+1) 0..2 arrays with 2X2 subblock determinants differing from horizontal neighbors and permanents differing from vertical neighbors
%C Row 2 of A205894
%H R. H. Hardin, <a href="/A205895/b205895.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 86*a(n-2) +760*a(n-3) +3738*a(n-4) +9250*a(n-5) +a(n-6) -91063*a(n-7) -361635*a(n-8) -436943*a(n-9) +545180*a(n-10) +1606007*a(n-11) -149237*a(n-12) -10835274*a(n-13) -8365056*a(n-14) +44179189*a(n-15) +68051483*a(n-16) -6957442*a(n-17) +198448706*a(n-18) -146999105*a(n-19) -544154048*a(n-20) +1098204290*a(n-21) -2585983256*a(n-22) +3394264711*a(n-23) -7112934200*a(n-24) +10220938911*a(n-25) -17676476120*a(n-26) +25686964067*a(n-27) -28974983280*a(n-28) +36101512820*a(n-29) -52062360186*a(n-30) +80356912008*a(n-31) -87054253395*a(n-32) +66459295760*a(n-33) -49224652363*a(n-34) +41257909396*a(n-35) -44546129363*a(n-36) +48770005992*a(n-37) -48882437796*a(n-38) +41497764875*a(n-39) -28207003189*a(n-40) +15301727220*a(n-41) -1145788038*a(n-42) -9390031300*a(n-43) +14075254039*a(n-44) -12164782493*a(n-45) +9366980411*a(n-46) -6563228511*a(n-47) +4321925900*a(n-48) -2380585725*a(n-49) +937035245*a(n-50) +96707209*a(n-51) -343995886*a(n-52) +296944264*a(n-53) -127738242*a(n-54) +30366396*a(n-55) +3756128*a(n-56) -7056960*a(n-57) +1710592*a(n-58) -471264*a(n-59) for n>63
%e Some solutions for n=3
%e ..0..0..2..0....2..1..1..1....2..0..1..2....1..2..1..1....0..1..2..0
%e ..0..2..0..1....1..0..1..0....1..2..0..1....1..0..1..2....2..2..0..2
%e ..2..0..1..0....0..2..2..2....2..2..2..2....2..1..2..2....2..0..1..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Feb 01 2012
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