%I #4 Jul 26 2018 16:59:26
%S 8,9,36,123,414,1580,5704,20162,72715,262549,944628,3399508,12242821,
%T 44087164,158739670,571576721,2058142185,7410913041,26684956759,
%U 96086522975,345986123562,1245818108353,4485910314885,16152754437159
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A317383.
%H R. H. Hardin, <a href="/A317379/b317379.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +6*a(n-2) +4*a(n-3) -6*a(n-4) -32*a(n-5) -43*a(n-6) +7*a(n-7) +82*a(n-8) +59*a(n-9) +16*a(n-10) +10*a(n-11) -62*a(n-12) -69*a(n-13) -24*a(n-14) -7*a(n-15) +24*a(n-16) +34*a(n-17) +8*a(n-18) -8*a(n-19) for n>23
%e Some solutions for n=5
%e ..0..0..0..0. .0..0..0..0. .0..0..1..0. .0..0..0..0. .0..0..1..0
%e ..1..0..0..0. .0..0..0..0. .1..0..0..0. .0..0..0..0. .0..0..0..0
%e ..0..0..0..0. .1..0..0..0. .0..0..0..0. .1..1..0..0. .0..0..0..1
%e ..0..0..0..0. .0..0..0..0. .1..0..0..0. .1..1..0..0. .0..0..0..0
%e ..0..1..0..0. .0..0..1..0. .0..0..1..0. .0..0..0..0. .0..1..0..0
%Y Cf. A317383.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 26 2018
|