%I #4 Mar 29 2018 13:00:41

%S 13,22,74,219,749,2544,8705,29750,101869,348726,1194018,4088095,

%T 13997248,47925030,164090446,561828851,1923644742,6586363735,

%U 22551038555,77212460575,264367602921,905167759481,3099202251216,10611352989541

%N Number of nX6 0..1 arrays with every element equal to 0, 1 or 4 horizontally or antidiagonally adjacent elements, with upper left element zero.

%C Column 6 of A301964.

%H R. H. Hardin, <a href="/A301962/b301962.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +8*a(n-2) +4*a(n-3) -8*a(n-4) -7*a(n-5) -a(n-6) -3*a(n-7) +a(n-8) +5*a(n-9) -3*a(n-10) +a(n-11) for n>12

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A301964.

%K nonn

%O 1,1

%A _R. H. Hardin_, Mar 29 2018