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%I #4 Feb 11 2018 06:19:56
%S 1,16,12,166,537,2573,16538,83533,420801,2412733,12975515,68321766,
%T 376287484,2042163601,10949762356,59563103680,323175890698,
%U 1744473182106,9456860848043,51262356984369,277339276333524,1502217683264205
%N Number of nX4 0..1 arrays with every element equal to 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A299528.
%H R. H. Hardin, <a href="/A299524/b299524.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 4*a(n-1) +6*a(n-2) +85*a(n-3) -308*a(n-4) -556*a(n-5) -2039*a(n-6) +8843*a(n-7) +12024*a(n-8) +17861*a(n-9) -101643*a(n-10) -117910*a(n-11) +20768*a(n-12) +467084*a(n-13) +219710*a(n-14) -596837*a(n-15) -274594*a(n-16) +2569583*a(n-17) +862440*a(n-18) -8787502*a(n-19) -6703808*a(n-20) +11888135*a(n-21) +14350201*a(n-22) -10727892*a(n-23) -4048480*a(n-24) +17735232*a(n-25) +378931*a(n-26) -61474291*a(n-27) -1822713*a(n-28) +69458328*a(n-29) +64624442*a(n-30) -100064304*a(n-31) -92228173*a(n-32) +93263599*a(n-33) +111255163*a(n-34) -34509077*a(n-35) -139754553*a(n-36) +20038295*a(n-37) +75556687*a(n-38) -8174840*a(n-39) -19932098*a(n-40) +9495345*a(n-41) +786307*a(n-42) -6111053*a(n-43) -70336*a(n-44) +1689102*a(n-45) +210409*a(n-46) -72486*a(n-47) -14748*a(n-48) -16400*a(n-49) -1098*a(n-50) +36*a(n-51) -40*a(n-52) +40*a(n-53) for n>56
%e Some solutions for n=5
%e ..0..1..0..1. .0..1..1..1. .0..1..1..1. .0..1..1..1. .0..0..0..1
%e ..0..1..0..1. .1..0..1..1. .0..1..1..1. .1..0..1..1. .0..0..1..0
%e ..0..0..0..0. .0..0..1..1. .1..1..1..1. .0..0..0..0. .1..1..1..1
%e ..0..0..1..0. .1..0..0..0. .1..0..0..0. .0..1..0..0. .0..0..0..1
%e ..0..0..1..0. .0..1..0..0. .1..0..0..0. .0..1..0..0. .0..0..0..1
%Y Cf. A299528.
%K nonn
%O 1,2
%A _R. H. Hardin_, Feb 11 2018
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