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%I #4 Jul 02 2018 09:11:41
%S 5,21,32,97,279,640,1660,4353,10975,28038,72143,184345,471036,1206844,
%T 3088559,7899309,20219520,51748319,132403281,338838244,867145134,
%U 2218951631,5678392645,14531503004,37186210193,95160712029,243521427174
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A316427.
%H R. H. Hardin, <a href="/A316423/b316423.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 2*a(n-1) +16*a(n-3) -24*a(n-4) -4*a(n-5) -97*a(n-6) +111*a(n-7) +33*a(n-8) +301*a(n-9) -280*a(n-10) -102*a(n-11) -610*a(n-12) +462*a(n-13) +137*a(n-14) +1003*a(n-15) -460*a(n-16) -49*a(n-17) -1229*a(n-18) +318*a(n-19) -40*a(n-20) +1076*a(n-21) -170*a(n-22) +59*a(n-23) -756*a(n-24) -85*a(n-25) -26*a(n-26) +258*a(n-27) -2*a(n-28) -278*a(n-29) -208*a(n-30) -158*a(n-31) +113*a(n-32) -92*a(n-33) +85*a(n-34) +71*a(n-35) +166*a(n-36) +46*a(n-37) -49*a(n-38) -63*a(n-39) -10*a(n-40) +6*a(n-41) +6*a(n-42) for n>43
%e Some solutions for n=5
%e ..0..0..0..0. .0..0..0..1. .0..1..0..0. .0..0..1..1. .0..1..1..1
%e ..1..0..0..0. .0..0..0..0. .1..1..0..1. .0..0..0..1. .1..1..1..1
%e ..0..0..0..0. .0..0..0..0. .1..1..1..1. .1..0..1..1. .1..1..1..1
%e ..0..0..0..0. .0..0..1..0. .1..1..1..1. .1..1..1..1. .0..1..1..0
%e ..0..0..0..0. .0..0..0..0. .0..1..1..0. .1..1..1..1. .1..1..1..1
%Y Cf. A316427.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jul 02 2018
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