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%I #4 Mar 23 2018 10:57:27
%S 1,1,1,1,3,1,1,5,5,1,1,16,24,16,1,1,40,92,92,40,1,1,113,391,742,391,
%T 113,1,1,304,1728,5472,5472,1728,304,1,1,833,7640,43211,74479,43211,
%U 7640,833,1,1,2270,33824,339956,1050609,1050609,339956,33824,2270,1,1,6194,150119
%N T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5 or 6 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero.
%C Table starts
%C .1....1......1........1..........1............1..............1
%C .1....3......5.......16.........40..........113............304
%C .1....5.....24.......92........391.........1728...........7640
%C .1...16.....92......742.......5472........43211.........339956
%C .1...40....391.....5472......74479......1050609.......14890200
%C .1..113...1728....43211....1050609.....26709523......681538595
%C .1..304...7640...339956...14890200....681538595....31363814530
%C .1..833..33824..2691202..212169356..17470755574..1449439465725
%C .1.2270.150119.21316797.3027488635.448475800823.67069319310675
%H R. H. Hardin, <a href="/A301531/b301531.txt">Table of n, a(n) for n = 1..241</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1)
%F k=2: a(n) = a(n-1) +4*a(n-2) +2*a(n-3) -a(n-6)
%F k=3: [order 20] for n>21
%F k=4: [order 60] for n>62
%e Some solutions for n=5 k=4
%e ..0..0..0..0. .0..1..1..0. .0..1..1..1. .0..0..0..1. .0..0..1..0
%e ..0..1..1..0. .1..1..1..1. .1..1..1..0. .0..0..1..1. .0..0..0..0
%e ..1..1..1..0. .0..0..0..1. .1..0..0..0. .0..0..1..1. .1..1..1..1
%e ..0..0..0..1. .0..1..0..1. .0..0..1..1. .1..1..1..1. .1..1..1..1
%e ..0..0..1..1. .0..0..1..1. .0..1..1..0. .1..1..1..1. .0..1..1..0
%Y Column 2 is A300533.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Mar 23 2018
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