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Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.
1

%I #4 May 07 2018 08:09:36

%S 1,13,9,11,20,17,25,62,59,93,220,237,381,830,991,1601,3236,4185,6769,

%T 12894,17715,28661,52204,75029,121397,213918,317815,514233,884532,

%U 1346273,2178313,3682046,5702891,9227469,15402748,24157821,39088173

%N Number of nX4 0..1 arrays with every element unequal to 0, 2, 3 or 6 king-move adjacent elements, with upper left element zero.

%C Column 4 of A304141.

%H R. H. Hardin, <a href="/A304137/b304137.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +2*a(n-3) -6*a(n-4) +3*a(n-6) for n>10

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304141.

%K nonn

%O 1,2

%A _R. H. Hardin_, May 07 2018