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%I #4 Dec 19 2017 13:15:49
%S 13,153,963,8315,72533,579857,4846823,40521141,334815607,2784253057,
%T 23148389912,192156618960,1596570159080,13264571661150,
%U 110181652107053,915339227624427,7604121086830130,63169048985350874,524768431870231224
%N Number of nX5 0..1 arrays with each 1 adjacent to 0, 2 or 4 king-move neighboring 1s.
%C Column 5 of A296725.
%H R. H. Hardin, <a href="/A296722/b296722.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = 8*a(n-1) +11*a(n-2) +109*a(n-3) -1428*a(n-4) -1691*a(n-5) -1359*a(n-6) +88181*a(n-7) +98419*a(n-8) -134905*a(n-9) -2499178*a(n-10) -2920947*a(n-11) +4441444*a(n-12) +38051580*a(n-13) +46960052*a(n-14) -52077088*a(n-15) -328792766*a(n-16) -420486787*a(n-17) +259643002*a(n-18) +1626817959*a(n-19) +2102896552*a(n-20) -436607963*a(n-21) -4582767399*a(n-22) -5856079093*a(n-23) -351847773*a(n-24) +7523198204*a(n-25) +9467640280*a(n-26) +2131827414*a(n-27) -7149647662*a(n-28) -8869010522*a(n-29) -2737820830*a(n-30) +3740869125*a(n-31) +4440819305*a(n-32) +1228319510*a(n-33) -1143773011*a(n-34) -926477650*a(n-35) +78281210*a(n-36) +403665586*a(n-37) +38260822*a(n-38) -104458936*a(n-39) -78062944*a(n-40) -16016824*a(n-41) -20986784*a(n-42) -39188256*a(n-43) -7979904*a(n-44) +1198080*a(n-45)
%e Some solutions for n=5
%e ..1..0..0..0..0. .0..0..1..0..1. .1..0..0..0..0. .1..1..0..0..1
%e ..0..0..0..1..1. .1..1..1..0..0. .0..0..0..0..1. .0..1..0..0..0
%e ..0..1..0..0..1. .1..0..0..0..0. .0..0..1..0..0. .0..0..0..0..0
%e ..1..1..0..1..1. .1..1..0..0..0. .1..1..1..0..0. .1..1..1..0..0
%e ..0..0..0..0..0. .0..0..0..0..1. .1..0..0..0..1. .0..1..1..1..0
%Y Cf. A296725.
%K nonn
%O 1,1
%A _R. H. Hardin_, Dec 19 2017
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