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%I #4 Jul 23 2015 13:14:20
%S 48,78,78,208,127,208,436,342,342,436,616,700,912,700,616,1378,896,
%T 2014,2014,896,1378,2880,2047,2532,4633,2532,2047,2880,4904,4438,5806,
%U 5326,5326,5806,4438,4904,9776,6674,13632,12858,6144,12858,13632,6674,9776
%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 00001111
%C Table starts
%C ....48....78...208....436....616...1378....2880....4904....9776....19458
%C ....78...127...342....700....896...2047....4438....6674...12878....27877
%C ...208...342...912...2014...2532...5806...13632...20576...39376....91830
%C ...436...700..2014...4633...5326..12858...32488...46993...89140...223963
%C ...616...896..2532...5326...6144..15440...37948...52390..101664...257566
%C ..1378..2047..5806..12858..15440..38370...98032..140897..274244...711411
%C ..2880..4438.13632..32488..37948..98032..265120..390138..774416..2085610
%C ..4904..6674.20576..46993..52390.140897..390138..551542.1079598..3047471
%C ..9776.12878.39376..89140.101664.274244..774416.1079598.2092680..6087830
%C .19458.27877.91830.223963.257566.711411.2085610.3047471.6087830.17786146
%H R. H. Hardin, <a href="/A260370/b260370.txt">Table of n, a(n) for n = 1..544</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) -a(n-2) +5*a(n-3) -a(n-4) +5*a(n-5) -3*a(n-6) -a(n-7)
%F k=2: [order 12]
%F k=3: [order 28] for n>30
%F k=4: [order 44] for n>46
%F k=5: [order 64] for n>66
%e Some solutions for n=4 k=4
%e ..1..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..0..0..0....1..0..0..1..1..0....0..0..0..0..1..0....0..1..1..0..0..1
%e ..0..0..0..1..1..0....0..0..0..0..0..0....1..1..0..0..1..0....0..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..0..0..0....0..1..0..0..1..0....0..0..0..0..0..0....1..1..0..0..1..0
%e ..1..0..0..1..1..0....0..1..0..0..1..0....0..0..1..0..0..1....1..0..0..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jul 23 2015
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