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%I A298177 #4 Jan 14 2018 09:18:26
%S A298177 0,0,0,0,1,0,0,2,2,0,0,1,0,1,0,0,8,2,2,8,0,0,5,1,8,1,5,0,0,22,6,13,13,
%T A298177 6,22,0,0,29,8,27,34,27,8,29,0,0,60,15,43,57,57,43,15,60,0,0,121,22,
%U A298177 104,73,87,73,104,22,121,0,0,194,44,220,174,161,161,174,220,44,194,0,0,425,82
%N A298177 T(n,k)=Number of nXk 0..1 arrays with every element equal to 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero.
%C A298177 Table starts
%C A298177 .0..0..0...0...0...0....0....0....0.....0.....0.....0......0......0......0
%C A298177 .0..1..2...1...8...5...22...29...60...121...194...425....704...1421...2574
%C A298177 .0..2..0...2...1...6....8...15...22....44....82...152....267....486....898
%C A298177 .0..1..2...8..13..27...43..104..220...478...988..2085...4451...9505..20311
%C A298177 .0..8..1..13..34..57...73..174..350...800..1605..3376...7079..15234..32785
%C A298177 .0..5..6..27..57..87..161..361..898..1984..4089..8938..20136..45253.100907
%C A298177 .0.22..8..43..73.161..181..540.1076..2572..5179.11814..27638..63592.145715
%C A298177 .0.29.15.104.174.361..540.1380.2682..6043.12820.28413..61050.133945.294724
%C A298177 .0.60.22.220.350.898.1076.2682.4176.11358.21477.51492.105048.245900.540109
%H A298177 R. H. Hardin, <a href="/A298177/b298177.txt">Table of n, a(n) for n = 1..511</a>
%F A298177 Empirical for column k:
%F A298177 k=1: a(n) = a(n-1)
%F A298177 k=2: a(n) = 3*a(n-2) +2*a(n-3) -2*a(n-4)
%F A298177 k=3: a(n) = a(n-1) +2*a(n-2) +2*a(n-5) -4*a(n-6) -8*a(n-7) -a(n-8) +a(n-9)
%F A298177 k=4: [order 21] for n>27
%F A298177 k=5: [order 34] for n>40
%F A298177 k=6: [order 67] for n>74
%e A298177 Some solutions for n=7 k=4
%e A298177 ..0..0..1..1. .0..0..1..1. .0..0..0..0. .0..0..0..0. .0..0..1..1
%e A298177 ..0..1..0..1. .1..0..0..1. .0..1..1..0. .0..1..1..0. .0..1..0..1
%e A298177 ..0..1..0..1. .1..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..0..1
%e A298177 ..0..1..0..1. .0..0..0..1. .0..1..0..1. .0..1..0..1. .1..0..1..0
%e A298177 ..0..1..0..1. .0..1..1..0. .0..1..0..1. .0..1..0..1. .1..0..1..0
%e A298177 ..0..1..0..1. .1..0..0..1. .1..0..1..0. .0..1..1..0. .0..1..1..0
%e A298177 ..0..0..1..1. .1..1..1..1. .1..1..0..0. .0..0..0..0. .0..0..0..0
%Y A298177 Column 2 is A297809.
%Y A298177 Column 3 is A298141.
%Y A298177 Column 4 is A298142.
%Y A298177 Column 5 is A298143.
%K A298177 nonn,tabl
%O A298177 1,8
%A A298177 _R. H. Hardin_, Jan 14 2018

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