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%I #4 Feb 04 2018 13:24:39
%S 3,3,3,9,19,59,129,355,891,2317,6019,15543,40557,105639,274475,716909,
%T 1868955,4870915,12717105,33177547,86555071,225940757,589641087,
%U 1538803595,4016626149,10483511171,27362265959,71420814253,186418208451
%N Number of nX3 0..1 arrays with every element equal to 0, 1, 3, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
%C Column 3 of A299194.
%H R. H. Hardin, <a href="/A299189/b299189.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +4*a(n-2) +13*a(n-3) -13*a(n-4) -46*a(n-5) -59*a(n-6) +53*a(n-7) +153*a(n-8) +98*a(n-9) -60*a(n-10) -140*a(n-11) -7*a(n-12) +67*a(n-13) +15*a(n-14) -78*a(n-15) -48*a(n-16) -32*a(n-17) for n>18
%e Some solutions for n=5
%e ..0..1..1. .0..1..1. .0..1..0. .0..0..1. .0..0..1. .0..1..1. .0..1..0
%e ..1..1..1. .0..1..1. .0..1..0. .0..0..1. .0..0..0. .0..1..1. .0..1..0
%e ..1..0..1. .0..0..0. .0..0..0. .0..1..1. .0..1..0. .0..0..1. .1..1..1
%e ..1..1..1. .0..1..1. .0..0..0. .0..0..1. .0..0..0. .0..1..1. .0..1..0
%e ..0..1..1. .0..1..1. .1..0..1. .0..0..1. .1..0..0. .0..1..1. .0..1..0
%Y Cf. A299194.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 04 2018