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%I #4 Feb 19 2018 15:35:42
%S 5,16,43,476,1739,11312,80892,470799,3083661,20441853,129705810,
%T 846082271,5516053068,35644544701,231838924028,1506661578035,
%U 9774545836954,63508853941590,412500480519040,2678412377254500
%N Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 4, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Column 4 of A299814.
%H R. H. Hardin, <a href="/A299810/b299810.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 5*a(n-1) +13*a(n-2) +79*a(n-3) -549*a(n-4) -1020*a(n-5) -882*a(n-6) +17817*a(n-7) +27700*a(n-8) -19490*a(n-9) -264340*a(n-10) -322630*a(n-11) +472723*a(n-12) +1963312*a(n-13) +1333212*a(n-14) -3519587*a(n-15) -6443361*a(n-16) +2208258*a(n-17) +11069242*a(n-18) +305910*a(n-19) -29809544*a(n-20) -17229251*a(n-21) +38574947*a(n-22) +87533209*a(n-23) +54484975*a(n-24) -46921341*a(n-25) -205273859*a(n-26) -175667195*a(n-27) +47801906*a(n-28) +325040193*a(n-29) +247467356*a(n-30) -252589269*a(n-31) -350766568*a(n-32) +243750062*a(n-33) +549095804*a(n-34) -184561005*a(n-35) -729728947*a(n-36) -245111315*a(n-37) +462632765*a(n-38) +340098086*a(n-39) -62096681*a(n-40) -67235019*a(n-41) +21455997*a(n-42) -23916654*a(n-43) -63200362*a(n-44) +2533614*a(n-45) +26889033*a(n-46) +4712257*a(n-47) -2194853*a(n-48) -633138*a(n-49) -172846*a(n-50) -250120*a(n-51) -112688*a(n-52) +27608*a(n-53) +22016*a(n-54) +2560*a(n-55) for n>58
%e Some solutions for n=5
%e ..0..0..0..1. .0..0..0..0. .0..1..0..0. .0..0..0..0. .0..1..0..1
%e ..0..0..0..1. .0..0..0..0. .1..0..0..0. .0..0..0..0. .1..0..0..0
%e ..0..0..0..0. .0..0..0..0. .1..1..1..1. .0..0..0..0. .0..0..0..0
%e ..1..1..1..0. .0..0..0..0. .1..1..1..1. .0..1..1..0. .1..0..0..0
%e ..1..1..0..1. .1..0..1..1. .1..1..1..1. .0..1..1..0. .1..0..0..0
%Y Cf. A299814.
%K nonn
%O 1,1
%A _R. H. Hardin_, Feb 19 2018
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