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%I #4 May 12 2018 09:27:15
%S 1,24,103,835,7017,60245,522349,4542604,39567170,344867709,3006637339,
%T 26216229524,228603730278,1993460011680,17383499694996,
%U 151589509899903,1321910981585320,11527517181690855,100523956632846546
%N Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 4 or 5 king-move adjacent elements, with upper left element zero.
%C Column 4 of A304419.
%H R. H. Hardin, <a href="/A304415/b304415.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 9*a(n-1) +18*a(n-2) -126*a(n-3) -642*a(n-4) +947*a(n-5) +5892*a(n-6) +3421*a(n-7) -22541*a(n-8) -42456*a(n-9) -1502*a(n-10) +84330*a(n-11) +92320*a(n-12) +84252*a(n-13) +179487*a(n-14) +61076*a(n-15) -686553*a(n-16) -1365118*a(n-17) -335218*a(n-18) +1910366*a(n-19) +2465234*a(n-20) -56719*a(n-21) -2858935*a(n-22) -3505136*a(n-23) -1217142*a(n-24) +2480294*a(n-25) +4393672*a(n-26) +2089476*a(n-27) -2038851*a(n-28) -2486979*a(n-29) +312720*a(n-30) +1131502*a(n-31) +154965*a(n-32) +141350*a(n-33) +726963*a(n-34) +185495*a(n-35) -603585*a(n-36) -371131*a(n-37) +146974*a(n-38) +296513*a(n-39) +79957*a(n-40) -44532*a(n-41) -43568*a(n-42) -3508*a(n-43) +6980*a(n-44) +80*a(n-46) +128*a(n-47) for n>48
%e Some solutions for n=5
%e ..0..1..0..1. .0..1..1..0. .0..0..1..0. .0..1..1..0. .0..1..0..0
%e ..0..1..1..0. .1..0..1..1. .1..1..1..0. .0..1..1..0. .1..1..1..1
%e ..0..1..1..0. .0..1..0..0. .0..1..0..0. .0..0..1..1. .0..0..0..0
%e ..1..0..0..0. .1..1..0..0. .1..0..1..0. .0..1..1..0. .0..0..1..1
%e ..0..1..1..1. .0..0..1..1. .0..1..1..0. .1..0..0..1. .1..1..1..0
%Y Cf. A304419.
%K nonn
%O 1,2
%A _R. H. Hardin_, May 12 2018
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