%I #4 Jan 02 2018 15:16:08
%S 1,36,231,1073,6838,45036,268655,1617465,9996907,61298132,373667037,
%T 2285559013,13993745417,85580111107,523343997645,3201466965125,
%U 19583433034979,119781882351653,732667670413245,4481577327382246
%N Number of 3Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1, 2 or 3 neighboring 1s.
%C Row 3 of A297654.
%H R. H. Hardin, <a href="/A297656/b297656.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +67*a(n-3) +65*a(n-4) +58*a(n-5) +60*a(n-6) -296*a(n-7) -269*a(n-8) -48*a(n-9) +43*a(n-10) +400*a(n-11) +473*a(n-12) +81*a(n-13) -9*a(n-14) +23*a(n-15) +a(n-16) +4*a(n-17)
%e Some solutions for n=6
%e ..1..1..1..1..0..0. .0..0..0..1..0..0. .0..0..0..0..1..0. .0..0..0..1..0..0
%e ..0..0..0..0..0..1. .0..0..0..1..1..0. .0..1..1..0..0..1. .1..0..1..1..1..0
%e ..1..1..0..0..1..1. .0..0..1..1..0..0. .1..1..1..0..1..0. .1..1..0..0..1..0
%Y Cf. A297654.
%K nonn
%O 1,2
%A _R. H. Hardin_, Jan 02 2018