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%I #4 Jun 03 2018 13:09:06
%S 0,0,0,0,3,0,0,5,5,0,0,18,4,18,0,0,61,42,42,61,0,0,209,130,346,130,
%T 209,0,0,702,464,1767,1767,464,702,0,0,2381,1722,10182,13314,10182,
%U 1722,2381,0,0,8069,6378,60352,101912,101912,60352,6378,8069,0,0,27330,22939,350540
%N T(n,k)=Number of nXk 0..1 arrays with every element unequal to 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero.
%C Table starts
%C .0....0.....0.......0........0..........0...........0.............0
%C .0....3.....5......18.......61........209.........702..........2381
%C .0....5.....4......42......130........464........1722..........6378
%C .0...18....42.....346.....1767......10182.......60352........350540
%C .0...61...130....1767....13314.....101912......855017.......6971744
%C .0..209...464...10182...101912....1126154....13419832.....155294889
%C .0..702..1722...60352...855017...13419832...235231504....3907075261
%C .0.2381..6378..350540..6971744..155294889..3907075261...93092873891
%C .0.8069.22939.2034140.56056227.1779735908.64554148567.2198342635112
%H R. H. Hardin, <a href="/A305509/b305509.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) = 3*a(n-1) +a(n-2) +2*a(n-3) -2*a(n-4) -4*a(n-5) for n>6
%F k=3: [order 18] for n>19
%F k=4: [order 66] for n>67
%e Some solutions for n=5 k=4
%e ..0..1..1..0. .0..1..0..1. .0..1..0..1. .0..1..1..0. .0..1..1..0
%e ..1..0..0..1. .1..1..0..1. .1..0..1..0. .0..1..1..0. .1..0..1..1
%e ..1..0..0..1. .0..0..0..0. .1..0..0..0. .0..0..1..1. .0..1..1..0
%e ..1..0..0..1. .1..1..0..1. .0..0..1..0. .1..0..0..1. .1..1..1..0
%e ..0..1..1..0. .0..0..1..0. .1..1..0..1. .1..0..0..1. .0..0..0..1
%Y Column 2 is A303684.
%Y Column 3 is A304151.
%Y Column 4 is A304152.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Jun 03 2018
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