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A298891 Number of nX4 0..1 arrays with every element equal to 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.

%I A298891 #4 Jan 28 2018 09:04:46
%S A298891 0,2,4,11,31,80,229,681,1969,5973,18031,54874,167752,513625,1575095,
%T A298891 4835994,14859480,45674676,140452387,431987865,1328865560,4088283165,
%U A298891 12578581331,38703117525,119090222855,366452309799,1127630050984
%N A298891 Number of nX4 0..1 arrays with every element equal to 2, 3, 5, 6 or 8 king-move adjacent elements, with upper left element zero.
%C A298891 Column 4 of A298895.
%H A298891 R. H. Hardin, <a href="/A298891/b298891.txt">Table of n, a(n) for n = 1..210</a>
%F A298891 Empirical: a(n) = 6*a(n-1) -9*a(n-2) +5*a(n-3) -32*a(n-4) +38*a(n-5) +25*a(n-6) +98*a(n-7) -119*a(n-8) +40*a(n-9) -550*a(n-10) +580*a(n-11) -916*a(n-12) +830*a(n-13) +263*a(n-14) +83*a(n-15) +2328*a(n-16) -229*a(n-17) +503*a(n-18) -4047*a(n-19) -417*a(n-20) -3044*a(n-21) +2435*a(n-22) -11065*a(n-23) +3356*a(n-24) -5303*a(n-25) +1559*a(n-26) +14545*a(n-27) +32995*a(n-28) +22512*a(n-29) -15204*a(n-30) -12820*a(n-31) -31577*a(n-32) -21644*a(n-33) +3315*a(n-34) +18307*a(n-35) -24537*a(n-36) -14373*a(n-37) +11731*a(n-38) +26599*a(n-39) +15792*a(n-40) -11544*a(n-41) -3386*a(n-42) -4977*a(n-43) +5179*a(n-44) -2851*a(n-45) +4056*a(n-46) -977*a(n-47) +3855*a(n-48) -121*a(n-49) +305*a(n-50) -1567*a(n-51) -458*a(n-52) -273*a(n-53) +321*a(n-54) -8*a(n-55) +78*a(n-56) -20*a(n-57) -6*a(n-58) for n>59
%e A298891 Some solutions for n=7
%e A298891 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..1..1
%e A298891 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..1..1..0. .0..1..0..1
%e A298891 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .1..0..0..1. .1..0..0..1
%e A298891 ..1..1..1..1. .1..1..1..1. .0..0..0..0. .1..1..1..1. .1..1..1..1
%e A298891 ..1..0..0..1. .1..1..1..1. .0..0..0..0. .0..0..0..0. .0..0..0..0
%e A298891 ..0..1..1..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
%e A298891 ..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
%Y A298891 Cf. A298895.
%K A298891 nonn
%O A298891 1,2
%A A298891 _R. H. Hardin_, Jan 28 2018