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%I #4 Jul 17 2015 06:59:58
%S 36,58,58,138,128,138,266,342,342,266,472,730,1162,730,472,944,1626,
%T 2966,2966,1626,944,1880,3928,7698,8292,7698,3928,1880,3562,8998,
%U 22522,24696,24696,22522,8998,3562,6866,20376,61914,85048,89000,85048,61914,20376
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 01010101 or 01010111
%C Table starts
%C ....36.....58.....138.....266......472.......944.......1880........3562
%C ....58....128.....342.....730.....1626......3928.......8998.......20376
%C ...138....342....1162....2966.....7698.....22522......61914......165954
%C ...266....730....2966....8292....24696.....85048.....266156......813540
%C ...472...1626....7698...24696....89000....365308....1340176.....4872072
%C ...944...3928...22522...85048...365308...1799114....7839850....33893514
%C ..1880...8998...61914..266156..1340176...7839850...39696994...200149838
%C ..3562..20376..165954..813540..4872072..33893514..200149838..1187010782
%C ..6866..47424..462030.2626092.18722120.155470816.1081436482..7587636740
%C .13450.109650.1279574.8360396.70481648.697051946.5672351526.46772091478
%H R. H. Hardin, <a href="/A260138/b260138.txt">Table of n, a(n) for n = 1..647</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +3*a(n-3) +a(n-4) for n>5
%F k=2: a(n) = a(n-1) +a(n-2) +5*a(n-3) +a(n-4) -3*a(n-5) -3*a(n-6) for n>7
%F k=3: [order 9] for n>10
%F k=4: [order 12] for n>13
%F k=5: [order 24] for n>25
%F k=6: [order 30] for n>32
%F k=7: [order 42] for n>44
%e Some solutions for n=4 k=4
%e ..1..1..0..1..0..1....1..1..0..0..0..1....1..1..0..1..0..0....0..0..0..1..1..1
%e ..1..1..1..0..1..0....1..0..1..0..1..0....1..0..1..0..0..0....1..0..1..0..1..0
%e ..0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..1
%e ..1..0..1..0..1..0....1..0..1..0..1..0....1..0..1..0..1..0....1..0..1..0..1..0
%e ..0..1..0..1..0..1....1..1..0..1..0..0....0..0..0..1..0..1....1..1..0..1..0..1
%e ..1..0..0..0..1..1....1..0..1..0..1..0....0..0..1..0..0..0....1..0..1..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jul 17 2015
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