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%I #4 Jun 02 2018 08:53:34
%S 13,49,70,192,577,1558,3910,10465,27679,70960,185085,482009,1244823,
%T 3230042,8373967,21665119,56140661,145406933,376386012,974846599,
%U 2524431274,6535798997,16924746068,43825543193,113474650030,293830839732
%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 3, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 6 of A305482.
%H R. H. Hardin, <a href="/A305480/b305480.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-2) +42*a(n-3) +13*a(n-4) -21*a(n-5) -798*a(n-6) -445*a(n-7) +75*a(n-8) +9104*a(n-9) +6959*a(n-10) +2234*a(n-11) -69792*a(n-12) -66002*a(n-13) -37730*a(n-14) +380931*a(n-15) +424993*a(n-16) +309218*a(n-17) -1528192*a(n-18) -1970173*a(n-19) -1649924*a(n-20) +4576312*a(n-21) +6801498*a(n-22) +6275732*a(n-23) -10243999*a(n-24) -17832907*a(n-25) -17740672*a(n-26) +16858216*a(n-27) +35874947*a(n-28) +38075221*a(n-29) -19327607*a(n-30) -55534070*a(n-31) -62663406*a(n-32) +12749005*a(n-33) +65902528*a(n-34) +79253835*a(n-35) +1122656*a(n-36) -59316885*a(n-37) -76701433*a(n-38) -13361361*a(n-39) +39723689*a(n-40) +56211280*a(n-41) +16514241*a(n-42) -19179752*a(n-43) -30660429*a(n-44) -11758729*a(n-45) +6333137*a(n-46) +12129025*a(n-47) +5458452*a(n-48) -1293494*a(n-49) -3348674*a(n-50) -1664936*a(n-51) +125204*a(n-52) +607532*a(n-53) +319432*a(n-54) +1688*a(n-55) -65000*a(n-56) -34544*a(n-57) -928*a(n-58) +3136*a(n-59) +1568*a(n-60) for n>66
%e Some solutions for n=5
%e ..0..1..0..0..0..0. .0..1..1..1..0..0. .0..0..0..0..0..1. .0..0..1..1..0..0
%e ..1..1..0..1..0..0. .1..1..1..1..1..0. .0..1..0..0..1..1. .0..1..1..1..1..0
%e ..0..0..0..0..0..0. .1..1..1..1..1..1. .0..0..0..0..0..0. .1..1..1..1..1..1
%e ..0..1..0..0..0..0. .1..0..1..1..0..0. .0..0..0..0..0..1. .1..1..1..1..0..0
%e ..0..0..0..0..0..0. .1..1..1..1..1..0. .0..0..0..0..1..1. .0..1..1..1..1..0
%Y Cf. A305482.
%K nonn
%O 1,1
%A _R. H. Hardin_, Jun 02 2018
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