Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #4 Jan 15 2018 08:05:40
%S 4,13,20,40,89,195,451,1046,2453,5810,13796,32903,78633,188163,450830,
%T 1080857,2592672,6221496,14932953,35849159,86073611,206681378,
%U 496321653,1191918914,2862503060,6874749395,16511107561,39655346739,95242735994
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.
%C Column 3 of A298221.
%H R. H. Hardin, <a href="/A298216/b298216.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +a(n-3) -13*a(n-4) +3*a(n-5) -a(n-6) +18*a(n-7) -4*a(n-8) +7*a(n-9) -7*a(n-10) +5*a(n-11) -6*a(n-12) -a(n-13) -4*a(n-14) for n>15
%e Some solutions for n=7
%e ..0..1..0. .0..1..0. .0..1..1. .0..1..1. .0..1..0. .0..1..0. .0..1..0
%e ..1..0..0. .0..0..0. .1..0..0. .0..1..0. .1..1..0. .0..1..1. .1..1..0
%e ..1..0..0. .1..1..1. .0..0..1. .1..0..1. .1..1..0. .0..1..1. .1..1..0
%e ..0..0..1. .0..0..0. .0..0..1. .0..0..1. .0..1..1. .1..1..0. .1..1..0
%e ..0..0..1. .1..1..1. .0..0..1. .0..0..1. .0..1..1. .1..1..0. .0..1..1
%e ..0..0..1. .0..0..0. .0..0..1. .0..0..1. .0..1..1. .1..1..0. .0..1..1
%e ..0..1..0. .0..1..0. .0..1..0. .1..0..1. .0..1..0. .0..1..0. .0..1..0
%Y Cf. A298221.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 15 2018