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Number of nX4 0..1 arrays with every element unequal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.
1

%I #4 May 23 2018 16:01:49

%S 2,10,31,42,255,862,2200,8807,33055,106158,385363,1430563,4984613,

%T 17903390,65557446,234669342,845691032,3078003683,11115610686,

%U 40193431243,145975752428,528747707176,1915566040755,6952384042215

%N Number of nX4 0..1 arrays with every element unequal to 1, 2, 4, 5 or 7 king-move adjacent elements, with upper left element zero.

%C Column 4 of A305015.

%H R. H. Hardin, <a href="/A305011/b305011.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A305011/a305011.txt">Empirical recurrence of order 69</a>

%F Empirical recurrence of order 69 (see link above)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A305015.

%K nonn

%O 1,1

%A _R. H. Hardin_, May 23 2018