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%I #4 Dec 22 2017 18:26:46
%S 1,1,1,1,2,1,1,4,4,1,1,7,14,7,1,1,14,28,28,14,1,1,33,98,74,98,33,1,1,
%T 77,447,440,440,447,77,1,1,185,1653,2514,5487,2514,1653,185,1,1,460,
%U 6507,12601,65694,65694,12601,6507,460,1,1,1148,27374,71009,639327,1621832
%N T(n,k)=Number of nXk 0..1 arrays with each 1 adjacent to 3, 4 or 5 king-move neighboring 1s.
%C Table starts
%C .1...1.....1......1........1...........1............1...............1
%C .1...2.....4......7.......14..........33...........77.............185
%C .1...4....14.....28.......98.........447.........1653............6507
%C .1...7....28.....74......440........2514........12601...........71009
%C .1..14....98....440.....5487.......65694.......639327.........7181983
%C .1..33...447...2514....65694.....1621832.....26724927.......546305423
%C .1..77..1653..12601...639327....26724927....702794334.....24416753991
%C .1.185..6507..71009..7181983...546305423..24416753991...1529176981800
%C .1.460.27374.401521.81977832.11821168013.892243428330.100472530942946
%H R. H. Hardin, <a href="/A296990/b296990.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = 2*a(n-1) +a(n-2) +3*a(n-3) -4*a(n-4) -2*a(n-5) -4*a(n-6)
%F k=3: [order 20]
%F k=4: [order 43]
%e Some solutions for n=5 k=4
%e ..0..1..1..0. .0..0..0..0. .1..1..0..0. .0..1..0..0. .0..0..0..0
%e ..1..1..1..1. .0..1..1..0. .1..1..1..0. .1..1..1..0. .1..1..0..0
%e ..1..0..0..1. .1..1..0..1. .0..0..1..0. .0..1..1..0. .1..1..0..0
%e ..1..1..1..0. .1..0..1..1. .0..0..1..1. .0..0..1..1. .0..1..1..0
%e ..1..1..0..0. .0..1..1..0. .0..0..1..1. .0..0..1..1. .0..1..1..0
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Dec 22 2017
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