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%I #4 Feb 17 2018 10:42:16
%S 1,1,1,1,5,1,1,13,13,1,1,42,46,42,1,1,127,246,246,127,1,1,389,1205,
%T 2545,1205,389,1,1,1192,6354,23877,23877,6354,1192,1,1,3645,33804,
%U 242107,439647,242107,33804,3645,1,1,11161,182056,2501312,8668148,8668148
%N T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4, 5, 6 or 7 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.....46.......246........1205...........6354............33804
%C .1....42....246......2545.......23877.........242107..........2501312
%C .1...127...1205.....23877......439647........8668148........174287007
%C .1...389...6354....242107.....8668148......330958005......12889348273
%C .1..1192..33804...2501312...174287007....12889348273.....971255866215
%C .1..3645.182056..26078075..3523382014...504002310677...73433529818762
%C .1.11161.988181.273889895.71647565308.19818564264619.5581654300729422
%H R. H. Hardin, <a href="/A299721/b299721.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 29] for n>30
%F k=5: [order 83] for n>86
%e Some solutions for n=5 k=4
%e ..0..1..1..0. .0..1..0..0. .0..0..0..0. .0..1..1..1. .0..0..1..1
%e ..1..1..1..1. .1..1..1..0. .0..0..0..1. .0..0..1..0. .1..0..0..1
%e ..0..1..1..1. .0..0..0..1. .1..1..1..1. .1..1..0..0. .0..0..1..1
%e ..0..0..0..0. .0..0..1..1. .1..0..1..0. .0..1..0..0. .0..0..1..1
%e ..0..1..0..0. .1..0..1..0. .1..1..1..1. .1..1..0..1. .0..1..1..1
%Y Column 2 is A298234.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Feb 17 2018
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