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%I #4 Feb 11 2018 06:13:22
%S 1,2,5,8,41,117,476,1743,7078,28743,116832,478171,1955738,8011036,
%T 32816061,134450866,550917593,2257434204,9250305870,37905245020,
%U 155326182456,636489181785,2608180914178,10687710600371,43795726882138
%N Number of nX4 0..1 arrays with every element equal to 0, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A299521.
%H R. H. Hardin, <a href="/A299517/b299517.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 3*a(n-1) +11*a(n-2) -14*a(n-3) -57*a(n-4) -9*a(n-5) +83*a(n-6) +135*a(n-7) +193*a(n-8) -96*a(n-9) -495*a(n-10) -183*a(n-11) +18*a(n-12) -199*a(n-13) +87*a(n-14) +122*a(n-15) -138*a(n-16) +518*a(n-17) +1198*a(n-18) +958*a(n-19) +342*a(n-20) -518*a(n-21) -1335*a(n-22) -1132*a(n-23) -225*a(n-24) +77*a(n-25) +48*a(n-26) +146*a(n-27) +111*a(n-28) -19*a(n-29) -52*a(n-30) +3*a(n-31) -3*a(n-32) -4*a(n-33) +3*a(n-34) for n>36
%e Some solutions for n=5
%e ..0..0..1..1. .0..0..0..0. .0..0..0..1. .0..0..0..1. .0..0..1..1
%e ..0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..1
%e ..1..1..1..1. .0..0..0..0. .1..0..1..0. .0..0..0..1. .1..0..0..1
%e ..1..1..0..0. .1..1..1..1. .0..0..0..0. .1..1..0..0. .0..0..1..1
%e ..1..1..0..0. .1..1..1..1. .1..0..0..1. .1..1..0..0. .0..0..1..1
%Y Cf. A299521.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 11 2018
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