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%I #4 Jul 12 2015 10:26:13
%S 48,99,99,284,269,284,641,805,805,641,1228,1819,2532,1819,1228,2943,
%T 4383,6157,6157,4383,2943,7284,12412,13562,12620,13562,12412,7284,
%U 15683,32525,39209,23680,23680,39209,32525,15683,34012,82616,112570,74850,55276
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00000011 or 00000101
%C Table starts
%C ....48.....99.....284.....641....1228.....2943.....7284.....15683.....34012
%C ....99....269.....805....1819....4383....12412....32525.....82616....222474
%C ...284....805....2532....6157...13562....39209...112570....265595....662116
%C ...641...1819....6157...12620...23680....74850...197804....383548....942638
%C ..1228...4383...13562...23680...55276...190794...450718....964370...2768522
%C ..2943..12412...39209...74850..190794...760397..1890678...4225837..14524157
%C ..7284..32525..112570..197804..450718..1890678..4405472...8894577..30259110
%C .15683..82616..265595..383548..964370..4225837..8894577..16728076..59550906
%C .34012.222474..662116..942638.2768522.14524157.30259110..59550906.252106808
%C .81017.598599.1906817.2727852.8264691.43967830.85219828.186397965.839523185
%H R. H. Hardin, <a href="/A260001/b260001.txt">Table of n, a(n) for n = 1..544</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +5*a(n-3) +7*a(n-4) -7*a(n-5) -5*a(n-7)
%F k=2: [order 14]
%F k=3: [order 19] for n>22
%F k=4: [order 26] for n>30
%F k=5: [order 58] for n>62
%F k=6: [order 96] for n>102
%e Some solutions for n=4 k=4
%e ..1..0..0..0..1..0....0..0..0..0..1..0....0..0..0..0..1..0....1..0..0..0..0..0
%e ..1..1..0..0..1..0....0..0..0..0..1..0....1..0..0..0..1..0....0..0..0..1..1..0
%e ..0..0..0..0..0..0....1..1..0..0..0..0....0..1..0..0..0..0....1..0..0..0..0..0
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
%e ..1..0..0..1..0..0....0..0..0..0..1..0....0..0..0..0..1..0....0..0..0..1..0..0
%e ..1..0..0..0..1..0....1..1..0..0..1..1....1..1..0..1..0..1....1..0..1..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jul 12 2015
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