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%I #4 Dec 03 2017 07:11:16
%S 1,55,251,997,8472,51941,285366,1853852,11570787,69390198,430980681,
%T 2670679721,16363788219,100943289484,623257702756,3837414517371,
%U 23654515841341,145883640990507,899130984362565,5542569857859277
%N Number of nX5 0..1 arrays with each 1 adjacent to 2 or 4 king-move neighboring 1s.
%C Column 5 of A296039.
%H R. H. Hardin, <a href="/A296036/b296036.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 6*a(n-1) +3*a(n-2) +128*a(n-3) -746*a(n-4) -909*a(n-5) -6293*a(n-6) +35992*a(n-7) +63809*a(n-8) +166157*a(n-9) -891020*a(n-10) -1956676*a(n-11) -2686453*a(n-12) +12746724*a(n-13) +31345389*a(n-14) +26894726*a(n-15) -113974303*a(n-16) -281739414*a(n-17) -159264823*a(n-18) +678651173*a(n-19) +1471594058*a(n-20) +509265958*a(n-21) -2717695409*a(n-22) -4589755680*a(n-23) -595020447*a(n-24) +7006602342*a(n-25) +8634960336*a(n-26) -808150288*a(n-27) -11482781948*a(n-28) -10635854486*a(n-29) +2283999533*a(n-30) +11527331115*a(n-31) +8928622654*a(n-32) -1005541095*a(n-33) -7339656323*a(n-34) -6846449601*a(n-35) -2726209070*a(n-36) +1733362716*a(n-37) +4812513079*a(n-38) +4571448221*a(n-39) +899172633*a(n-40) -2356681935*a(n-41) -2570302359*a(n-42) -563881339*a(n-43) +839247925*a(n-44) +582273648*a(n-45) +58080097*a(n-46) -147874991*a(n-47) +43560783*a(n-48) +44608156*a(n-49) -46862788*a(n-50) +5026592*a(n-51) +3110928*a(n-52) -4741248*a(n-53) +431936*a(n-54) -15360*a(n-55)
%e Some solutions for n=5
%e ..0..0..1..1..0. .0..0..1..0..1. .1..1..0..0..0. .0..1..1..0..0
%e ..0..0..1..0..0. .0..0..1..1..1. .1..0..0..1..1. .0..0..1..0..1
%e ..1..1..1..0..0. .0..0..0..0..0. .0..0..0..1..0. .0..1..0..1..1
%e ..0..1..0..1..1. .1..0..0..0..0. .1..1..0..0..0. .0..0..1..0..0
%e ..0..0..1..0..1. .1..1..0..0..0. .1..0..0..0..0. .0..1..1..0..0
%Y Cf. A296039.
%K nonn
%O 1,2
%A _R. H. Hardin_, Dec 03 2017
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