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%I #6 Mar 31 2012 12:37:03
%S 1412,17835,225474,2824381,35428257,445314552,5591644019,70200382115,
%T 881603665912,11070867433537,139016011247295,1745671883517392,
%U 21921078184891237,275268843448870477,3456632286008466836
%N Number of (n+2)X3 0..2 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically, diagonally or antidiagonally exactly one way, and new values 0..2 introduced in row major order
%C Column 1 of A204745
%H R. H. Hardin, <a href="/A204741/b204741.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +18*a(n-2) +503*a(n-3) +268*a(n-4) -3470*a(n-5) -12905*a(n-6) -98008*a(n-7) +144410*a(n-8) +970413*a(n-9) +532812*a(n-10) -3157908*a(n-11) -14857036*a(n-12) -16646298*a(n-13) +77303556*a(n-14) +351340628*a(n-15) -246142300*a(n-16) -1229221768*a(n-17) -1387569480*a(n-18) +1816736040*a(n-19) +6001487120*a(n-20) +2662558800*a(n-21) +8836133792*a(n-22) -28444747200*a(n-23) -32973898528*a(n-24) -16201390432*a(n-25) +106875017792*a(n-26) -127980947904*a(n-27) +437735835136*a(n-28) -603491409408*a(n-29) +362850529280*a(n-30) +280743239680*a(n-31) -1305077383168*a(n-32) +2552785797120*a(n-33) -3235684810752*a(n-34) +1978750992384*a(n-35) -407686348800*a(n-36)
%e Some solutions for n=3
%e ..0..0..0....0..0..1....0..0..1....0..0..1....0..1..1....0..0..0....0..0..0
%e ..0..1..2....0..0..1....0..2..2....1..1..1....1..2..0....0..0..1....0..1..2
%e ..1..1..2....1..1..0....2..2..2....2..2..0....1..1..1....1..2..1....1..1..2
%e ..1..2..2....2..2..2....1..1..0....1..2..1....2..2..0....2..1..1....2..0..2
%e ..1..2..0....2..0..2....1..0..1....2..0..2....0..1..0....1..0..2....1..2..2
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 18 2012
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