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A316299 Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero. 1

%I

%S 4,12,20,39,110,245,572,1384,3267,7767,18500,43949,104584,248880,

%T 591971,1408452,3351213,7973189,18970293,45135581,107389830,255510579,

%U 607930774,1446436781,3441480653,8188250475,19482148534,46353514855,110288063427

%N Number of nX3 0..1 arrays with every element unequal to 0, 1, 2, 4, 6 or 8 king-move adjacent elements, with upper left element zero.

%C Column 3 of A316304.

%H R. H. Hardin, <a href="/A316299/b316299.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = 2*a(n-2) +7*a(n-3) +8*a(n-4) +2*a(n-5) -12*a(n-6) -26*a(n-7) -23*a(n-8) -6*a(n-9) +9*a(n-10) +10*a(n-11) +3*a(n-12) for n>13

%e Some solutions for n=5

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

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

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

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

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

%Y Cf. A316304.

%K nonn

%O 1,1

%A _R. H. Hardin_, Jun 29 2018

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Last modified June 13 20:01 EDT 2021. Contains 345009 sequences. (Running on oeis4.)