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Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
1

%I #4 Jan 13 2018 11:37:01

%S 5,16,18,196,497,2618,15694,74848,398520,2175661,11395331,60709714,

%T 325569321,1730448253,9227502184,49280674716,262657795284,

%U 1400914746703,7474498985522,39861303261615,212613780799718,1134133138126240

%N Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Column 4 of A298154.

%H R. H. Hardin, <a href="/A298150/b298150.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A298150/a298150.txt">Empirical recurrence of order 66</a>

%F Empirical recurrence of order 66 (see link above)

%e Some solutions for n=7

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

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

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

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

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

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

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

%Y Cf. A298154.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jan 13 2018