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A282647 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its king-move neighbors.

%I A282647 #4 Feb 20 2017 07:33:23
%S A282647 2,4,4,7,11,7,13,27,27,13,24,76,99,76,24,44,201,413,413,201,44,81,537,
%T A282647 1601,2638,1601,537,81,149,1444,6349,15460,15460,6349,1444,149,274,
%U A282647 3859,25153,92817,133118,92817,25153,3859,274,504,10339,99287,557439,1190848
%N A282647 T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its king-move neighbors.
%C A282647 Table starts
%C A282647 ...2.....4.......7........13.........24...........44.............81
%C A282647 ...4....11......27........76........201..........537...........1444
%C A282647 ...7....27......99.......413.......1601.........6349..........25153
%C A282647 ..13....76.....413......2638......15460........92817.........557439
%C A282647 ..24...201....1601.....15460.....133118......1190848.......10614316
%C A282647 ..44...537....6349.....92817....1190848.....15985259......213392087
%C A282647 ..81..1444...25153....557439...10614316....213392087.....4257307148
%C A282647 .149..3859...99287...3332685...94161619...2835418176....84514081303
%C A282647 .274.10339..392907..19979228..838433062..37825158151..1685475197497
%C A282647 .504.27692.1553391.119669673.7454215075.503735487244.33544066527869
%H A282647 R. H. Hardin, <a href="/A282647/b282647.txt">Table of n, a(n) for n = 1..364</a>
%F A282647 Empirical for column k:
%F A282647 k=1: a(n) = a(n-1) +a(n-2) +a(n-3)
%F A282647 k=2: a(n) = a(n-1) +3*a(n-2) +4*a(n-3)
%F A282647 k=3: a(n) = 2*a(n-1) +6*a(n-2) +8*a(n-3) -5*a(n-4) +2*a(n-5) -2*a(n-6)
%F A282647 k=4: [order 9]
%F A282647 k=5: [order 21]
%F A282647 k=6: [order 30]
%F A282647 k=7: [order 66]
%e A282647 Some solutions for n=4 k=4
%e A282647 ..0..0..0..1. .0..0..0..0. .1..0..0..1. .0..1..0..0. .0..1..0..0
%e A282647 ..0..1..0..1. .1..0..1..0. .0..1..0..1. .0..0..0..0. .0..0..0..1
%e A282647 ..1..0..0..0. .0..0..1..0. .0..0..0..0. .1..0..0..1. .0..0..0..1
%e A282647 ..0..0..0..0. .1..0..0..0. .0..1..0..0. .1..0..0..0. .1..0..0..0
%Y A282647 Column 1 is A000073(n+3).
%K A282647 nonn,tabl
%O A282647 1,1
%A A282647 _R. H. Hardin_, Feb 20 2017