%I #4 Jan 18 2018 08:06:06

%S 1,7,15,29,63,167,473,1205,3161,8399,22021,58279,153851,405489,

%T 1070981,2826361,7458763,19688757,51962947,137149575,361994337,

%U 955427345,2521739769,6655820967,17567183369,46366440203,122378424487,323002621161

%N Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5 or 6 king-move adjacent elements, with upper left element zero.

%C Column 3 of A298396.

%H R. H. Hardin, <a href="/A298391/b298391.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -3*a(n-2) +a(n-3) -11*a(n-4) +12*a(n-5) -4*a(n-6) +19*a(n-8) -20*a(n-9) +29*a(n-10) -65*a(n-11) +63*a(n-12) -34*a(n-13) +10*a(n-15) for n>17

%e Some solutions for n=5

%e ..0..1..0. .0..1..1. .0..0..1. .0..1..1. .0..1..1. .0..1..0. .0..1..1

%e ..1..0..0. .0..0..0. .0..1..1. .0..0..1. .0..0..0. .1..0..0. .0..1..0

%e ..1..0..0. .0..0..1. .1..1..1. .1..1..1. .0..0..1. .0..0..0. .1..0..1

%e ..0..0..0. .0..0..1. .1..1..0. .1..0..0. .1..0..1. .1..1..0. .0..1..0

%e ..1..1..0. .0..1..0. .1..0..1. .1..1..0. .0..1..0. .1..0..0. .0..1..1

%Y Cf. A298396.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jan 18 2018