%I #4 Aug 04 2015 07:39:33
%S 36,48,48,104,68,104,186,146,146,186,297,279,401,279,297,491,468,896,
%T 896,468,491,883,831,1800,2208,1800,831,883,1489,1528,3358,4522,4522,
%U 3358,1528,1489,2534,2750,7680,10617,11608,10617,7680,2750,2534,4289,4874
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00010101 00101011 or 01010101
%C Table starts
%C ...36...48...104....186.....297.....491......883......1489......2534.......4289
%C ...48...68...146....279.....468.....831.....1528......2750......4874.......8781
%C ..104..146...401....896....1800....3358.....7680.....14924.....32431......62992
%C ..186..279...896...2208....4522...10617....25690.....58606....134296.....314471
%C ..297..468..1800...4522...11608...27582....82766....191474....543551....1291912
%C ..491..831..3358..10617...27582...81848...253264....736065...2137558....6366003
%C ..883.1528..7680..25690...82766..253264...971381...2901724..10470430...32212024
%C .1489.2750.14924..58606..191474..736065..2901724..10662976..39563384..150551285
%C .2534.4874.32431.134296..543551.2137558.10470430..39563384.181422568..711441140
%C .4289.8781.62992.314471.1291912.6366003.32212024.150551285.711441140.3460352248
%H R. H. Hardin, <a href="/A260927/b260927.txt">Table of n, a(n) for n = 1..1200</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-2) +3*a(n-4) +2*a(n-5) +2*a(n-6) +3*a(n-7) +a(n-8) for n>10
%F k=2: a(n) = a(n-2) +6*a(n-4) +4*a(n-6) -a(n-8) for n>10
%F k=3: a(n) = a(n-2) +11*a(n-4) +13*a(n-6) -2*a(n-8) -2*a(n-10) +4*a(n-12) for n>15
%F k=4: [order 20] for n>22
%F k=5: [order 27] for n>28
%F k=6: [order 40] for n>42
%F k=7: [order 54] for n>59
%e Some solutions for n=4 k=4
%e ..1..0..1..0..1..1....1..1..0..0..1..0....1..0..1..0..1..1....1..0..0..1..0..0
%e ..0..1..0..1..0..0....0..1..0..1..0..0....0..1..0..1..0..0....1..0..1..0..1..0
%e ..1..0..1..0..1..0....1..0..1..0..1..0....0..0..1..0..1..0....0..1..0..1..0..1
%e ..0..1..0..1..0..1....0..1..0..1..0..1....0..1..0..1..0..1....1..0..0..0..1..0
%e ..0..0..1..0..1..0....1..0..1..0..1..0....1..0..1..0..0..0....0..1..0..1..0..0
%e ..1..1..0..1..0..0....0..0..0..1..0..1....0..0..0..1..0..1....1..0..1..0..1..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Aug 04 2015