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A317261 Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 3,7,10,21,46,91,186,409,892,1931,4236,9363,20792,46525,104832,237487,

%T 540898,1238373,2848246,6577977,15248530,35464687,82722630,193446597,

%U 453383480,1064658303,2504274032,5899032191,13912945708,32848848465

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 3, 4, 6, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A317266.

%H R. H. Hardin, <a href="/A317261/b317261.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 4*a(n-1) -3*a(n-2) +a(n-3) -12*a(n-4) +11*a(n-5) -6*a(n-6) +20*a(n-7) -17*a(n-8) +20*a(n-9) +a(n-10) +7*a(n-11) -30*a(n-12) -11*a(n-13) -8*a(n-14) +8*a(n-15) +8*a(n-16)

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A317266.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jul 25 2018

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Last modified May 17 23:07 EDT 2022. Contains 353779 sequences. (Running on oeis4.)