%I #6 Mar 31 2012 12:37:01
%S 900,15309,296570,3885869,61395233,998872022,15147453273,236632580900,
%T 3720926905272,57768732597137,901307564666548,14081696214168287,
%U 219500595457550601,3424308851127979049,53436023878129018975
%N Number of (n+2)X3 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally at least two different ways, and new values 0..3 introduced in row major order
%C Column 1 of A204320
%H R. H. Hardin, <a href="/A204316/b204316.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 22*a(n-1) -119*a(n-2) +1148*a(n-3) -19142*a(n-4) +102346*a(n-5) -296822*a(n-6) +3139506*a(n-7) -17422094*a(n-8) +26324236*a(n-9) -128714479*a(n-10) +982639012*a(n-11) -881519791*a(n-12) -3835450308*a(n-13) -14164183760*a(n-14) +54843321982*a(n-15) +143773588667*a(n-16) -421147795822*a(n-17) -506301269317*a(n-18) +300563067312*a(n-19) +3197934667874*a(n-20) +3965911183994*a(n-21) -8966689060712*a(n-22) -14613863059144*a(n-23) -10342173673300*a(n-24) +29852979743336*a(n-25) +55550077164136*a(n-26) +927670269048*a(n-27) -34177938429792*a(n-28) -82246627809120*a(n-29) -15804172099872*a(n-30) +29229877967616*a(n-31) -13979244036096*a(n-32) +28593720906048*a(n-33) +24957241337088*a(n-34) +81534201661440*a(n-35) +25331504004864*a(n-36) -76108888037376*a(n-37) -43913943770112*a(n-38) -15206741121024*a(n-39) +22676452319232*a(n-40) +15618529714176*a(n-41) -4816869949440*a(n-42) -812665405440*a(n-43)
%e Some solutions for n=3
%e ..0..0..0....0..0..0....0..0..1....0..1..0....0..0..0....0..1..0....0..0..1
%e ..0..0..1....0..0..0....0..1..2....0..1..0....0..0..0....0..0..0....1..0..2
%e ..0..1..2....0..0..0....1..1..1....0..1..1....1..2..1....0..0..2....0..0..0
%e ..1..1..1....0..0..0....0..1..0....0..0..0....0..0..0....1..0..3....1..0..1
%e ..0..0..0....0..1..2....3..2..1....0..1..1....1..1..1....0..0..0....1..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 14 2012