%I #4 Mar 15 2018 18:48:33
%S 1,5,20,76,290,1245,5160,21819,91713,388059,1639111,6934811,29326929,
%T 124078694,524899537,2220794401,9395650615,39752075589,168185729492,
%U 711577787970,3010611147958,12737611709683,53891601910235
%N Number of nX3 0..1 arrays with every element equal to 0, 2, 3, 4 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Column 3 of A300923.
%H R. H. Hardin, <a href="/A300918/b300918.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +11*a(n-2) +a(n-3) -17*a(n-4) -46*a(n-5) -68*a(n-6) -42*a(n-7) +4*a(n-8) +43*a(n-9) +28*a(n-10) -34*a(n-11) -12*a(n-12) +8*a(n-13) +46*a(n-14) +22*a(n-15) +15*a(n-16) -2*a(n-17) -2*a(n-18) -3*a(n-19) -a(n-21) for n>22
%e Some solutions for n=5
%e ..0..0..1. .0..1..1. .0..1..0. .0..0..0. .0..0..1. .0..0..0. .0..0..0
%e ..0..0..0. .1..1..1. .1..1..1. .0..1..0. .0..1..1. .0..0..0. .0..0..1
%e ..0..0..1. .0..1..0. .1..1..0. .0..0..0. .1..1..1. .1..1..0. .0..0..0
%e ..0..0..0. .1..1..1. .0..0..0. .1..1..0. .0..1..1. .1..0..0. .1..0..0
%e ..1..0..1. .1..1..1. .0..0..1. .1..0..0. .1..1..1. .0..0..0. .0..0..1
%Y Cf. A300923.
%K nonn
%O 1,2
%A _R. H. Hardin_, Mar 15 2018