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%I #4 Nov 17 2013 07:13:58
%S 37,521,6958,94102,1272579,17207275,232668433,3146033503,42539187117,
%T 575194892084,7777514958284,105163901425917,1421976842496639,
%U 19227302460062857,259982546017978714,3515361781736396370
%N Number of (n+1)X(3+1) 0..1 arrays with every element equal to some horizontal, vertical or antidiagonal neighbor, with top left element zero
%C Column 3 of A232038
%H R. H. Hardin, <a href="/A232033/b232033.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 16*a(n-1) -32*a(n-2) -23*a(n-3) +30*a(n-4) +49*a(n-5) +160*a(n-6) -163*a(n-7) -304*a(n-8) +146*a(n-9) +59*a(n-10) +316*a(n-11) -147*a(n-12) -255*a(n-13) +70*a(n-14) +122*a(n-15) -21*a(n-16) -28*a(n-17) +2*a(n-18) +5*a(n-19) -a(n-20)
%e Some solutions for n=4
%e ..0..0..1..1....0..0..1..0....0..1..0..1....0..0..0..1....0..0..0..0
%e ..1..1..1..0....1..1..0..0....0..1..0..1....1..0..0..1....1..1..0..1
%e ..0..1..0..1....1..0..0..1....1..1..0..1....1..1..1..1....0..1..0..1
%e ..0..1..1..0....1..1..0..1....1..0..0..1....1..1..1..1....0..1..0..1
%e ..1..1..1..0....1..1..0..0....1..0..0..1....1..0..0..1....0..1..0..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Nov 17 2013
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