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

%I #4 May 07 2018 07:57:14

%S 5,17,19,44,80,140,244,436,800,1444,2584,4630,8328,15032,27058,48590,

%T 87400,157336,283092,509306,916198,1648190,2965634,5335868,9599288,

%U 17270130,31071812,55902190,100575652,180948570,325547770,585704612

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

%C Column 4 of A304133.

%H R. H. Hardin, <a href="/A304129/b304129.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = a(n-1) +3*a(n-3) +a(n-5) -a(n-6) -5*a(n-7) -2*a(n-8) +2*a(n-10) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A304133.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 07 2018