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%I #6 Jul 04 2015 09:03:09
%S 20,22,22,42,36,42,62,74,74,62,101,136,190,136,101,152,230,374,374,
%T 230,152,265,414,792,868,792,414,265,382,760,1514,1882,1882,1514,760,
%U 382,652,1356,3480,4456,4904,4456,3480,1356,652,962,2414,6542,10570,12086,12086
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 or 01010101
%C Table starts
%C ..20...22....42.....62....101.....152......265......382.......652........962
%C ..22...36....74....136....230.....414......760.....1356......2414.......4348
%C ..42...74...190....374....792....1514.....3480.....6542.....14580......27866
%C ..62..136...374....868...1882....4456....10570....24150.....55686.....130032
%C .101..230...792...1882...4904...12086....35036....82492....230779.....558772
%C .152..414..1514...4456..12086...36522...110886...321402....940024....2797222
%C .265..760..3480..10570..35036..110886...416107..1244504...4489732...13887332
%C .382.1356..6542..24150..82492..321402..1244504..4569918..17054488...64800792
%C .652.2414.14580..55686.230779..940024..4489732.17054488..77901650..308237826
%C .962.4348.27866.130032.558772.2797222.13887332.64800792.308237826.1497446190
%H R. H. Hardin, <a href="/A259742/b259742.txt">Table of n, a(n) for n = 1..1042</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-2) +3*a(n-4) +2*a(n-6) for n>7
%F k=2: a(n) = a(n-1) +2*a(n-3) +a(n-4)
%F k=3: a(n) = 2*a(n-2) +9*a(n-4) +4*a(n-6) -6*a(n-8) +4*a(n-10) for n>11
%F k=4: [order 10] for n>11
%F k=5: [order 18] for n>19
%F k=6: [order 20] for n>22
%F k=7: [order 34] for n>37
%e Some solutions for n=4 k=4
%e ..1..0..1..0..1..0....0..1..0..1..0..0....0..0..0..1..0..0....1..0..1..0..1..0
%e ..0..1..0..1..0..1....0..0..1..0..1..0....1..0..1..0..1..0....0..1..0..1..0..0
%e ..1..0..1..0..1..0....0..1..0..1..0..1....0..1..0..1..0..1....1..0..1..0..1..0
%e ..0..1..0..0..0..1....1..0..1..0..1..0....1..0..1..0..1..0....0..1..0..1..0..1
%e ..1..0..1..0..1..0....0..1..0..1..0..0....0..0..0..1..0..1....1..0..0..0..1..0
%e ..0..1..0..1..0..1....0..0..1..0..1..0....0..0..1..0..0..0....0..1..0..1..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jul 04 2015
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