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%I #4 Jan 17 2018 07:56:20
%S 1,1,1,1,5,1,1,12,12,1,1,37,22,37,1,1,104,78,78,104,1,1,301,283,382,
%T 283,301,1,1,864,1097,1998,1998,1097,864,1,1,2485,4503,11727,17984,
%U 11727,4503,2485,1,1,7144,18491,73321,170318,170318,73321,18491,7144,1,1,20541
%N T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero.
%C Table starts
%C .1....1.....1.......1.........1...........1............1..............1
%C .1....5....12......37.......104.........301..........864...........2485
%C .1...12....22......78.......283........1097.........4503..........18491
%C .1...37....78.....382......1998.......11727........73321.........464117
%C .1..104...283....1998.....17984......170318......1664958.......16189372
%C .1..301..1097...11727....170318.....2614097.....41029614......638898386
%C .1..864..4503...73321...1664958....41029614...1019874462....25083063173
%C .1.2485.18491..464117..16189372...638898386..25083063173...970377749534
%C .1.7144.77067.2989370.158726938.10052063678.624245464335.38070771240926
%H R. H. Hardin, <a href="/A298328/b298328.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) = 5*a(n-2) +8*a(n-3) +4*a(n-4)
%F k=3: [order 19] for n>20
%F k=4: [order 67] for n>68
%e Some solutions for n=5 k=4
%e ..0..0..1..0. .0..0..1..1. .0..0..0..0. .0..0..0..1. .0..0..1..0
%e ..1..0..1..1. .0..1..0..1. .0..1..1..0. .0..1..0..0. .0..0..1..1
%e ..0..0..1..0. .1..0..0..0. .1..1..0..0. .0..1..1..0. .0..1..1..0
%e ..1..0..0..0. .0..1..1..1. .1..1..1..1. .0..0..1..1. .0..1..0..0
%e ..1..1..0..0. .0..0..1..0. .1..0..1..0. .0..1..1..1. .0..0..0..1
%Y Column 2 is A297909.
%K nonn,tabl
%O 1,5
%A _R. H. Hardin_, Jan 17 2018
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