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%I #4 Jun 04 2018 12:02:51
%S 8,112,880,7385,61139,506359,4205030,34889423,289444806,2401863963,
%T 19929361422,165362020786,1372103130459,11385038240794,94467434853476,
%U 783845435036200,6503969010268133,53966778475198345,447790193058560062
%N Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
%C Column 4 of A305530.
%H R. H. Hardin, <a href="/A305526/b305526.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) -4*a(n-2) +28*a(n-3) -411*a(n-4) +338*a(n-5) +857*a(n-6) -247*a(n-7) +155*a(n-8) -1915*a(n-9) +7665*a(n-10) -11746*a(n-11) +5851*a(n-12) -15110*a(n-13) -1432*a(n-14) +49754*a(n-15) -26190*a(n-16) +52001*a(n-17) -260844*a(n-18) +179368*a(n-19) -30268*a(n-20) -258974*a(n-21) +645731*a(n-22) -479209*a(n-23) -129902*a(n-24) -300495*a(n-25) -507419*a(n-26) +168476*a(n-27) -99617*a(n-28) +197668*a(n-29) +23175*a(n-30) +47733*a(n-31) +14282*a(n-32) +24379*a(n-33) +13120*a(n-34) +7194*a(n-35) +3784*a(n-36) -672*a(n-37) -234*a(n-38) for n>39
%e Some solutions for n=5
%e ..0..0..1..1. .0..0..0..0. .0..1..1..0. .0..1..1..1. .0..1..1..0
%e ..0..0..1..1. .0..0..0..1. .0..1..1..1. .1..1..1..0. .1..1..1..1
%e ..0..0..0..1. .1..1..1..0. .1..1..1..0. .1..0..1..0. .0..0..1..1
%e ..0..0..0..0. .1..1..1..0. .0..0..1..0. .0..0..1..1. .0..0..0..1
%e ..0..0..0..0. .0..0..1..1. .0..0..0..0. .0..0..1..1. .1..1..1..1
%Y Cf. A305530.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 04 2018
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