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A299447 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%I A299447 #4 Feb 10 2018 10:27:56
%S A299447 5,8,4,21,32,36,161,264,430,1475,2598,4872,14489,27382,55350,152073,
%T A299447 300506,637120,1666139,3393668,7453726,18821937,39280750,88534484,
%U A299447 217732841,464385964,1065353486,2568691553,5587193344,12959951420
%N A299447 Number of nX4 0..1 arrays with every element equal to 0, 1, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C A299447 Column 4 of A299451.
%H A299447 R. H. Hardin, <a href="/A299447/b299447.txt">Table of n, a(n) for n = 1..210</a>
%F A299447 Empirical: a(n) = 2*a(n-1) +28*a(n-3) -52*a(n-4) +8*a(n-5) -340*a(n-6) +540*a(n-7) -163*a(n-8) +2342*a(n-9) -2972*a(n-10) +1447*a(n-11) -9888*a(n-12) +9735*a(n-13) -7214*a(n-14) +25815*a(n-15) -21158*a(n-16) +21484*a(n-17) -40314*a(n-18) +35462*a(n-19) -36851*a(n-20) +34259*a(n-21) -49384*a(n-22) +31446*a(n-23) -8240*a(n-24) +50699*a(n-25) -3360*a(n-26) -17526*a(n-27) -37273*a(n-28) -19284*a(n-29) +23240*a(n-30) +25447*a(n-31) +17703*a(n-32) -12731*a(n-33) -18486*a(n-34) -10144*a(n-35) +4751*a(n-36) +5296*a(n-37) +5272*a(n-38) -3166*a(n-39) +3531*a(n-40) +4251*a(n-41) +4861*a(n-42) +468*a(n-43) -5642*a(n-44) -5798*a(n-45) -3385*a(n-46) +241*a(n-47) +3045*a(n-48) +2352*a(n-49) +1058*a(n-50) -51*a(n-51) -900*a(n-52) -327*a(n-53) -301*a(n-54) +29*a(n-55) +79*a(n-56) +12*a(n-57) +47*a(n-58) -2*a(n-59) +3*a(n-60) +2*a(n-61) -2*a(n-62) for n>63
%e A299447 Some solutions for n=5
%e A299447 ..0..0..0..0. .0..0..0..0. .0..1..0..0. .0..1..1..0. .0..0..1..1
%e A299447 ..0..0..0..0. .0..0..0..0. .0..1..0..0. .0..1..1..0. .0..0..1..1
%e A299447 ..0..0..0..0. .1..1..1..1. .1..1..0..0. .1..1..1..1. .1..1..1..1
%e A299447 ..1..1..1..1. .1..1..1..1. .0..1..0..0. .0..1..1..0. .1..1..0..0
%e A299447 ..1..1..1..1. .1..1..1..1. .0..1..0..0. .0..1..1..0. .1..1..0..0
%Y A299447 Cf. A299451.
%K A299447 nonn
%O A299447 1,1
%A A299447 _R. H. Hardin_, Feb 10 2018