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%I #4 Jan 03 2018 12:29:45
%S 8,19,95,293,1244,4277,16931,61040,234262,862457,3264643,12131248,
%T 45639021,170292842,638909917,2388332666,8949721529,33482510155,
%U 125400009557,469313539433,1757268204363,6577689516815,24626450519312
%N Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 0, 2 or 4 neighboring 1s.
%C Row 3 of A297694.
%H R. H. Hardin, <a href="/A297696/b297696.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +10*a(n-2) -24*a(n-3) -24*a(n-4) +43*a(n-5) +22*a(n-6) -17*a(n-7) -4*a(n-8) +2*a(n-9)
%e Some solutions for n=7
%e ..1..1..0..1..0..0..0. .1..0..0..0..0..0..0. .1..1..1..1..1..1..1
%e ..0..1..1..1..1..0..1. .1..0..0..0..1..0..0. .0..1..0..1..0..1..0
%e ..0..0..0..0..0..0..0. .1..0..0..1..1..1..0. .1..1..1..1..1..1..1
%Y Cf. A297694.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 03 2018