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%I #4 May 26 2018 18:13:59
%S 0,5,4,46,151,543,2120,8155,30205,115292,437367,1652127,6259372,
%T 23720673,89793169,340068226,1288031893,4877697803,18472359472,
%U 69958934289,264942827367,1003373594916,3799932457113,14390883952121,54500311291862
%N Number of nX3 0..1 arrays with every element unequal to 2, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A305175.
%H R. H. Hardin, <a href="/A305170/b305170.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +4*a(n-2) +3*a(n-3) -19*a(n-4) -42*a(n-5) +50*a(n-6) +44*a(n-7) -33*a(n-8) -9*a(n-9) -2*a(n-10) -107*a(n-11) -33*a(n-12) +116*a(n-13) +112*a(n-14) +80*a(n-15) +34*a(n-16) +16*a(n-17) +8*a(n-18)
%e Some solutions for n=5
%e ..0..1..0. .0..1..0. .0..0..0. .0..0..1. .0..1..0. .0..1..0. .0..1..0
%e ..1..0..1. .1..1..0. .1..1..1. .1..1..0. .1..0..1. .0..1..1. .1..1..1
%e ..0..1..0. .0..0..0. .1..1..0. .1..1..1. .1..1..1. .0..0..0. .0..1..0
%e ..0..0..0. .0..1..1. .0..0..0. .0..0..0. .1..0..0. .0..1..1. .1..0..1
%e ..1..0..1. .0..1..0. .1..0..1. .1..1..1. .1..0..1. .1..0..0. .0..1..0
%Y Cf. A305175.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 26 2018
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