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%I #4 May 11 2018 14:14:16
%S 8,28,71,290,1266,4733,18855,76887,308978,1246767,5062234,20532276,
%T 83375626,339110674,1379336250,5613495282,22857004715,93078076884,
%U 379120762123,1544499065379,6292491958997,25638948167920,104473946952179
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero.
%C Column 4 of A304347.
%H R. H. Hardin, <a href="/A304343/b304343.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +5*a(n-2) +32*a(n-3) -200*a(n-4) -228*a(n-5) -205*a(n-6) +3718*a(n-7) +4387*a(n-8) -1889*a(n-9) -36856*a(n-10) -45626*a(n-11) +31648*a(n-12) +222758*a(n-13) +283141*a(n-14) -176934*a(n-15) -875267*a(n-16) -1110368*a(n-17) +522678*a(n-18) +2319962*a(n-19) +2834459*a(n-20) -913714*a(n-21) -4227026*a(n-22) -4811045*a(n-23) +957440*a(n-24) +5340790*a(n-25) +5570610*a(n-26) -461342*a(n-27) -4777408*a(n-28) -4520675*a(n-29) -222037*a(n-30) +3301771*a(n-31) +2734586*a(n-32) +512745*a(n-33) -2341564*a(n-34) -1568109*a(n-35) -185062*a(n-36) +1876562*a(n-37) +893423*a(n-38) -302483*a(n-39) -1035111*a(n-40) -270603*a(n-41) +379662*a(n-42) +237172*a(n-43) -11752*a(n-44) -136851*a(n-45) +15661*a(n-46) +23886*a(n-47) +1294*a(n-48) -7785*a(n-49) -4225*a(n-50) +2867*a(n-51) +579*a(n-52) +238*a(n-53) -359*a(n-54) -27*a(n-55) +88*a(n-56) -30*a(n-57) for n>60
%e Some solutions for n=5
%e ..0..0..0..0. .0..0..1..1. .0..0..0..0. .0..1..0..0. .0..1..0..0
%e ..0..0..0..0. .0..0..0..0. .1..1..0..0. .1..0..0..1. .1..0..0..0
%e ..1..0..0..0. .1..0..0..0. .1..1..1..1. .0..0..0..0. .0..0..0..1
%e ..1..0..0..1. .1..0..0..1. .0..1..1..1. .1..0..0..0. .1..0..0..0
%e ..0..0..0..1. .0..0..0..1. .1..1..1..1. .1..0..0..0. .0..1..0..0
%Y Cf. A304347.
%K nonn
%O 1,1
%A _R. H. Hardin_, May 11 2018
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