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%I #4 Apr 30 2018 17:12:59
%S 32,184,121,631,1406,5282,11733,41444,108170,344248,929630,2892458,
%T 8095367,24400687,69641675,207693852,598414329,1769154199,5132971975,
%U 15109509950,43979589794,129115991690,376659787983,1104126268562
%N Number of nX6 0..1 arrays with every element unequal to 0, 1, 2 or 4 king-move adjacent elements, with upper left element zero.
%C Column 6 of A303800.
%H R. H. Hardin, <a href="/A303798/b303798.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = a(n-1) +3*a(n-2) +7*a(n-3) +34*a(n-4) -41*a(n-5) -73*a(n-6) -197*a(n-7) -358*a(n-8) +403*a(n-9) +377*a(n-10) +1249*a(n-11) +1586*a(n-12) -1602*a(n-13) +966*a(n-14) -2538*a(n-15) -3797*a(n-16) +3189*a(n-17) -7038*a(n-18) +2194*a(n-19) +2068*a(n-20) -2509*a(n-21) +12300*a(n-22) -5636*a(n-23) +6082*a(n-24) -3835*a(n-25) -7445*a(n-26) +5400*a(n-27) -22987*a(n-28) +14307*a(n-29) -1635*a(n-30) +2786*a(n-31) +40645*a(n-32) -6184*a(n-33) +17146*a(n-34) +16716*a(n-35) -24292*a(n-36) -591*a(n-37) -15281*a(n-38) -26935*a(n-39) +1337*a(n-40) -18295*a(n-41) -9270*a(n-42) +4766*a(n-43) -3014*a(n-44) +1910*a(n-45) +7681*a(n-46) -7462*a(n-47) -2677*a(n-48) +6317*a(n-49) -2079*a(n-50) +3958*a(n-51) +14418*a(n-52) +2663*a(n-53) +5707*a(n-54) +3097*a(n-55) -1596*a(n-56) +3161*a(n-57) -6253*a(n-58) -2609*a(n-59) -746*a(n-60) -2446*a(n-61) -822*a(n-62) +630*a(n-63) +430*a(n-64) -82*a(n-65) +524*a(n-66) -120*a(n-67) -136*a(n-68) +112*a(n-69) -28*a(n-70) +16*a(n-71) for n>75
%e Some solutions for n=5
%e ..0..1..1..0..0..0. .0..1..0..0..0..0. .0..0..0..0..1..0. .0..0..0..0..1..0
%e ..0..0..0..0..0..1. .1..0..0..0..0..1. .1..0..0..0..0..1. .0..0..0..0..0..1
%e ..0..0..0..0..0..1. .0..0..0..0..0..1. .1..0..0..0..0..0. .0..0..0..0..0..0
%e ..1..0..0..0..1..1. .1..0..0..0..1..1. .1..1..0..0..0..1. .1..0..0..0..0..1
%e ..1..0..0..0..1..1. .1..0..0..0..1..1. .1..0..1..0..0..1. .0..1..0..0..1..0
%Y Cf. A303800.
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 30 2018
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