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%I #4 Jan 07 2018 16:29:21
%S 8,29,26,36,84,134,223,396,638,1173,2157,3812,6922,12304,21936,40412,
%T 73746,133407,243158,440979,803278,1473594,2689801,4905976,8967627,
%U 16372815,29949905,54844798,100263893,183363553,335520346,613789492
%N Number of nX4 0..1 arrays with every element equal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.
%C Column 4 of A297889.
%H R. H. Hardin, <a href="/A297885/b297885.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +2*a(n-2) +4*a(n-3) -3*a(n-4) -6*a(n-5) -6*a(n-6) -16*a(n-7) -11*a(n-8) +6*a(n-9) +60*a(n-10) +84*a(n-11) +44*a(n-12) -55*a(n-13) -155*a(n-14) -116*a(n-15) -26*a(n-16) +76*a(n-17) +47*a(n-18) +5*a(n-19) +9*a(n-20) +69*a(n-21) +139*a(n-22) +82*a(n-23) -18*a(n-24) -119*a(n-25) -105*a(n-26) -39*a(n-27) +14*a(n-28) +24*a(n-29) +10*a(n-30) for n>34
%e Some solutions for n=7
%e ..0..0..1..0. .0..1..0..0. .0..1..1..1. .0..1..1..1. .0..1..1..1
%e ..1..0..1..1. .1..0..1..1. .0..1..0..1. .1..0..0..0. .0..1..0..1
%e ..1..0..0..0. .1..0..0..0. .1..0..1..1. .1..0..0..1. .1..1..0..0
%e ..0..0..1..1. .0..0..1..1. .0..1..0..0. .0..1..1..1. .1..1..0..0
%e ..1..1..0..0. .1..1..0..0. .0..1..1..1. .1..1..0..0. .0..1..0..1
%e ..0..0..0..1. .0..1..1..1. .1..0..1..0. .0..0..1..1. .1..0..1..0
%e ..0..1..1..0. .1..0..0..1. .1..0..1..0. .0..1..0..1. .0..1..0..1
%Y Cf. A297889.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jan 07 2018
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