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%I #4 Feb 08 2018 14:02:17
%S 1,1,1,1,5,1,1,13,13,1,1,42,23,42,1,1,127,125,125,127,1,1,389,420,
%T 1157,420,389,1,1,1192,1943,8134,8134,1943,1192,1,1,3645,9012,66668,
%U 107653,66668,9012,3645,1,1,11161,42321,564283,1640199,1640199,564283,42321
%N T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero.
%C Table starts
%C .1.....1......1........1..........1.............1...............1
%C .1.....5.....13.......42........127...........389............1192
%C .1....13.....23......125........420..........1943............9012
%C .1....42....125.....1157.......8134.........66668..........564283
%C .1...127....420.....8134.....107653.......1640199........25838859
%C .1...389...1943....66668....1640199......45416563......1301827631
%C .1..1192...9012...564283...25838859....1301827631.....67756659422
%C .1..3645..42321..4792366..404080073...37042505019...3508332244817
%C .1.11161.205597.41273307.6401182687.1066728270636.183583736926115
%H R. H. Hardin, <a href="/A299366/b299366.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) = a(n-1) +5*a(n-2) +4*a(n-3)
%F k=3: [order 12] for n>14
%F k=4: [order 46] for n>48
%e Some solutions for n=5 k=4
%e ..0..0..0..1. .0..0..0..0. .0..1..0..0. .0..0..0..0. .0..0..0..0
%e ..0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0. .0..0..0..0
%e ..1..1..1..1. .0..0..0..0. .1..1..1..1. .0..0..0..0. .0..0..0..0
%e ..1..1..1..1. .1..1..1..1. .1..1..1..1. .1..1..1..1. .0..0..0..0
%e ..1..1..1..1. .0..1..1..0. .1..1..1..1. .1..1..1..1. .0..0..0..0
%Y Column 2 is A298234.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Feb 08 2018
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