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%I #4 Feb 25 2018 06:28:17
%S 1,7,15,29,63,199,629,1837,5397,15855,46857,139131,411859,1218209,
%T 3604353,10667225,31574175,93448425,276561899,818499247,2422423269,
%U 7169412933,21218549729,62798160031,185856754621,550059982899
%N Number of nX3 0..1 arrays with every element equal to 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 3 of A300115.
%H R. H. Hardin, <a href="/A300110/b300110.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) -7*a(n-2) +4*a(n-3) -4*a(n-4) +7*a(n-5) -26*a(n-6) +26*a(n-7) +17*a(n-8) -5*a(n-9) -a(n-10) -40*a(n-11) +22*a(n-12) -11*a(n-13) +14*a(n-14) +2*a(n-15) -2*a(n-16) for n>17
%e Some solutions for n=5
%e ..0..1..1. .0..1..1. .0..1..1. .0..0..1. .0..0..1. .0..1..0. .0..0..1
%e ..0..0..1. .0..1..0. .0..1..0. .0..1..1. .0..1..1. .0..0..1. .1..1..0
%e ..0..0..0. .1..1..0. .1..0..1. .1..1..1. .1..1..1. .0..0..0. .1..0..1
%e ..1..0..0. .1..1..0. .0..1..0. .1..1..0. .0..0..1. .1..0..0. .1..1..0
%e ..1..1..0. .1..0..1. .1..1..0. .1..0..0. .0..1..1. .1..1..0. .0..0..1
%Y Cf. A300115.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 25 2018
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