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A316636 Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 1,16,43,122,404,1344,4583,15737,53378,182889,626144,2140598,7328954,

%T 25088547,85860039,293920208,1006105675,3443828176,11788522574,

%U 40352683838,138128383567,472821164301,1618489337206,5540161660167

%N Number of nX3 0..1 arrays with every element unequal to 1, 2, 3, 5, 7 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316641.

%H R. H. Hardin, <a href="/A316636/b316636.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-1) +5*a(n-2) +7*a(n-3) -15*a(n-4) -36*a(n-5) -3*a(n-6) -5*a(n-7) +39*a(n-8) +47*a(n-9) +67*a(n-10) +31*a(n-11) -69*a(n-12) -52*a(n-13) -53*a(n-14) +17*a(n-15) +15*a(n-16) -12*a(n-17) -8*a(n-18) -4*a(n-19) for n>21

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316641.

%K nonn

%O 1,2

%A _R. H. Hardin_, Jul 09 2018

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Last modified July 2 10:39 EDT 2022. Contains 355004 sequences. (Running on oeis4.)