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A316213 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 4,14,28,75,250,706,2116,6399,19179,57552,173123,520515,1564516,

%T 4704272,14144805,42529166,127877045,384503591,1156133200,3476296651,

%U 10452650138,31429406405,94503128515,284155666181,854410380210,2569074895741

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 5 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316218.

%H R. H. Hardin, <a href="/A316213/b316213.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +4*a(n-2) +5*a(n-3) -13*a(n-4) -31*a(n-5) -25*a(n-6) +30*a(n-7) +75*a(n-8) +66*a(n-9) -11*a(n-10) -52*a(n-11) -18*a(n-12) -12*a(n-13) -24*a(n-14) -27*a(n-15) for n>16

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316218.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 26 2018

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Last modified May 28 17:37 EDT 2020. Contains 334684 sequences. (Running on oeis4.)