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%I #4 Jan 05 2018 16:02:28
%S 1,11,66,174,452,2223,9733,32213,109959,444222,1741686,6270922,
%T 22908011,87743411,332882553,1231723189,4581917598,17276990320,
%U 64938750220,242324446545,905905664957,3399845574813,12746035541887,47685495021184
%N Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 3 or 4 neighboring 1s.
%C Row 3 of A297749.
%H R. H. Hardin, <a href="/A297751/b297751.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +a(n-2) +14*a(n-3) +49*a(n-4) -41*a(n-5) -129*a(n-6) -172*a(n-7) -96*a(n-8) +68*a(n-9) +88*a(n-10) +150*a(n-11) +121*a(n-12) +a(n-13) +15*a(n-14) -32*a(n-15) -7*a(n-16) -14*a(n-17) -3*a(n-18) +2*a(n-19)
%e Some solutions for n=7
%e ..1..1..1..0..1..0..0. .1..0..1..0..1..0..1. .0..1..0..0..1..0..1
%e ..1..0..0..0..1..1..1. .0..1..0..0..0..1..1. .0..0..1..0..1..1..1
%e ..0..0..0..0..0..0..0. .0..1..1..1..0..0..0. .0..0..0..0..0..0..0
%Y Cf. A297749.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 05 2018
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