%I #4 Feb 18 2016 09:02:07
%S 0,504,2136,18384,115656,785124,4998648,31834476,198736752,1231177296,
%T 7552688064,46020487500,278641166280,1678349335044,10062618187272,
%U 60089435895360,357550261665528,2120806295463156,12543856834626072
%N Number of 4Xn 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once.
%C Row 4 of A269035.
%H R. H. Hardin, <a href="/A269038/b269038.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) +23*a(n-2) -102*a(n-3) -288*a(n-4) +250*a(n-5) +787*a(n-6) -238*a(n-7) -741*a(n-8) +124*a(n-9) +196*a(n-10) -16*a(n-11) -16*a(n-12) for n>14
%e Some solutions for n=4
%e ..0..1..0..1. .2..2..2..1. .2..2..2..2. .1..0..0..2. .2..2..1..2
%e ..2..1..2..1. .2..2..2..2. .1..2..2..1. .1..0..1..0. .2..2..2..2
%e ..0..1..0..1. .2..1..2..1. .1..2..1..2. .0..0..1..0. .2..2..2..2
%e ..0..0..2..1. .0..2..2..1. .1..2..1..2. .1..0..1..0. .2..2..1..1
%Y Cf. A269035.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 18 2016
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