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Number of nX4 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
1

%I #4 Aug 24 2018 11:02:18

%S 8,20,36,67,148,343,817,1975,4788,11644,28327,68949,167840,408591,

%T 994711,2421617,5895464,14352589,34941627,85066013,207094729,

%U 504175889,1227425339,2988189330,7274801283,17710636103,43116865936,104968794797

%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.

%C Column 4 of A318343.

%H R. H. Hardin, <a href="/A318339/b318339.txt">Table of n, a(n) for n = 1..210</a>

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

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A318343.

%K nonn

%O 1,1

%A _R. H. Hardin_, Aug 24 2018