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%I #4 Feb 20 2016 11:31:21
%S 0,1152,18048,308544,4744704,70371048,1012764384,14272781904,
%T 197924795136,2710127012280,36731155605600,493646491209600,
%U 6587572246924800,87381895621488648,1153101183028855008
%N Number of 3Xn 0..3 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling three exactly once.
%C Row 3 of A269214.
%H R. H. Hardin, <a href="/A269216/b269216.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 24*a(n-1) -130*a(n-2) -248*a(n-3) +935*a(n-4) +272*a(n-5) -1768*a(n-6) +960*a(n-7) -144*a(n-8)
%e Some solutions for n=3
%e ..2..3..1. .0..2..3. .0..0..0. .1..3..1. .2..2..2. .3..2..2. .0..1..0
%e ..3..1..1. .0..0..2. .2..2..3. .3..3..1. .1..0..0. .0..0..0. .1..0..2
%e ..0..1..3. .0..0..2. .2..2..0. .2..1..1. .0..0..2. .0..1..0. .0..0..2
%Y Cf. A269214.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 20 2016
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