%I #4 Apr 03 2018 12:17:15
%S 0,3,14,45,146,537,1934,6861,24386,86913,309638,1102677,3927050,
%T 13986633,49814510,177416541,631877618,2250466449,8015156630,
%U 28546401765,101669514458,362101348953,1289643083966,4593131945709,16358681988674
%N Number of 2Xn 0..1 arrays with every element equal to 1, 2 or 3 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.
%C Row 2 of A302224.
%H R. H. Hardin, <a href="/A302225/b302225.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +3*a(n-2) +6*a(n-3) +10*a(n-4) +4*a(n-5) for n>6
%e Some solutions for n=5
%e ..0..0..0..1..0. .0..0..1..1..0. .0..0..0..1..0. .0..0..0..1..1
%e ..0..1..1..0..1. .0..1..0..0..0. .0..1..1..0..0. .0..1..1..0..1
%Y Cf. A302224.
%K nonn
%O 1,2
%A _R. H. Hardin_, Apr 03 2018