%I #4 Feb 27 2018 12:31:14

%S 32,2048,129217,8168705,516368256,32640586945,2063278351093,

%T 130424025161538,8244367994118153,521143277869649643,

%U 32942527085459429442,2082364172855562710821,131630476835565158890163

%N Number of nX6 0..1 arrays with every element equal to 0, 1, 2, 3, 4, 5, 6 or 7 king-move adjacent elements, with upper left element zero.

%C Column 6 of A300182.

%H R. H. Hardin, <a href="/A300180/b300180.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 52*a(n-1) +613*a(n-2) +5871*a(n-3) +11376*a(n-4) +9186*a(n-5) -411458*a(n-6) +66088*a(n-7) -1386895*a(n-8) +8059846*a(n-9) -4373944*a(n-10) +14457696*a(n-11) -42895616*a(n-12) +12292096*a(n-13) -11452416*a(n-14) +15335424*a(n-15)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A300182.

%K nonn

%O 1,1

%A _R. H. Hardin_, Feb 27 2018