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%I #5 Mar 31 2012 12:37:06
%S 3074,51458,904514,16820450,323378690,6379775618,128108142146,
%T 2604800794754,53418265989122,1101901781085314,22819666758241730,
%U 473834483326150658,9856290649063834562,205264242201999716930
%N Number of (n+1)X6 0..2 arrays with every 2X2 subblock having the same number of equal diagonal or antidiagonal elements, and new values 0..2 introduced in row major order
%C Column 5 of A205361
%H R. H. Hardin, <a href="/A205358/b205358.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 72*a(n-1) -2111*a(n-2) +31963*a(n-3) -244721*a(n-4) +393930*a(n-5) +9129842*a(n-6) -78749065*a(n-7) +200421324*a(n-8) +702551851*a(n-9) -6318391361*a(n-10) +15148890613*a(n-11) +7356872888*a(n-12) -116533400840*a(n-13) +228856999872*a(n-14) -38635874496*a(n-15) -523003405824*a(n-16) +885155081472*a(n-17) -617973276672*a(n-18) +165112971264*a(n-19)
%e Some solutions for n=4
%e ..0..1..0..1..1..0....0..1..0..0..1..2....0..0..1..2..0..2....0..0..0..0..0..0
%e ..0..2..0..2..2..2....2..0..0..1..2..0....1..0..0..1..2..1....1..0..1..0..2..0
%e ..0..1..1..1..0..0....2..2..0..0..1..2....0..2..0..0..1..0....2..1..2..1..0..1
%e ..2..2..2..2..2..2....0..2..2..0..0..1....0..0..0..1..1..1....2..2..2..2..1..1
%e ..1..0..1..1..0..0....0..0..2..2..0..0....2..0..1..1..0..1....1..2..1..2..2..1
%K nonn
%O 1,1
%A _R. H. Hardin_ Jan 26 2012
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