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A298656 Number of nX4 0..1 arrays with every element equal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero.

%I A298656 #4 Jan 24 2018 10:09:05
%S A298656 2,13,19,40,85,173,322,635,1325,2806,5877,12293,25318,52348,110032,
%T A298656 230666,481721,1008645,2105418,4397869,9221888,19306816,40379476,
%U A298656 84574182,176999321,370432095,776067635,1625005774,3401774504,7125184125
%N A298656 Number of nX4 0..1 arrays with every element equal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero.
%C A298656 Column 4 of A298660.
%H A298656 R. H. Hardin, <a href="/A298656/b298656.txt">Table of n, a(n) for n = 1..210</a>
%F A298656 Empirical: a(n) = 3*a(n-1) +a(n-3) -14*a(n-4) -a(n-5) +33*a(n-6) -58*a(n-7) +8*a(n-8) +31*a(n-9) +257*a(n-10) -83*a(n-11) -415*a(n-12) +258*a(n-13) +257*a(n-14) -701*a(n-15) -1280*a(n-16) +817*a(n-17) +2138*a(n-18) -1277*a(n-19) -1528*a(n-20) +3841*a(n-21) +4395*a(n-22) -4674*a(n-23) -3840*a(n-24) +6126*a(n-25) +1522*a(n-26) -10670*a(n-27) -7803*a(n-28) +11150*a(n-29) +1242*a(n-30) -18501*a(n-31) +5389*a(n-32) +19940*a(n-33) -6561*a(n-34) -14251*a(n-35) +20541*a(n-36) +18531*a(n-37) -24833*a(n-38) -10425*a(n-39) +29434*a(n-40) +13173*a(n-41) -23604*a(n-42) -9671*a(n-43) +14824*a(n-44) -2310*a(n-45) -14701*a(n-46) -6124*a(n-47) +4664*a(n-48) +2279*a(n-49) -4344*a(n-50) +3221*a(n-51) +5148*a(n-52) -1564*a(n-53) -1655*a(n-54) +410*a(n-55) -29*a(n-56) +385*a(n-57) +1679*a(n-58) +770*a(n-59) -1293*a(n-60) -895*a(n-61) +499*a(n-62) +423*a(n-63) -72*a(n-64) -174*a(n-65) -69*a(n-66) +20*a(n-67) +16*a(n-68) +10*a(n-69) +5*a(n-70) -2*a(n-71) -a(n-72) for n>73
%e A298656 Some solutions for n=5
%e A298656 ..0..1..1..0. .0..1..1..0. .0..0..1..1. .0..1..1..1. .0..1..0..1
%e A298656 ..0..0..0..1. .0..0..0..0. .1..0..1..0. .0..0..0..0. .0..1..1..0
%e A298656 ..0..0..0..1. .0..0..0..0. .1..1..1..0. .0..0..0..1. .0..1..1..1
%e A298656 ..0..1..0..1. .1..0..1..0. .1..1..1..0. .1..0..0..1. .1..1..1..1
%e A298656 ..1..1..0..0. .1..0..1..1. .1..0..0..1. .0..1..0..1. .0..0..0..1
%Y A298656 Cf. A298660.
%K A298656 nonn
%O A298656 1,1
%A A298656 _R. H. Hardin_, Jan 24 2018