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%I #4 Aug 14 2015 07:18:13
%S 36,50,50,96,77,96,166,133,133,166,307,233,271,233,307,540,409,504,
%T 504,409,540,1015,743,1086,1147,1086,743,1015,1786,1361,2104,2586,
%U 2586,2104,1361,1786,3304,2469,4715,6034,6996,6034,4715,2469,3304,5862,4485,9080
%N T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with each 3X3 subblock having clockwise perimeter pattern 00000001 00010101 or 01010101.
%C Table starts
%C ...36...50....96....166....307.....540.....1015.....1786......3304.......5862
%C ...50...77...133....233....409.....743.....1361.....2469......4485.......8183
%C ...96..133...271....504...1086....2104.....4715.....9080.....20093......38864
%C ..166..233...504...1147...2586....6034....14106....32496.....75202.....175008
%C ..307..409..1086...2586...6996...17094....48435...115722....323733.....784568
%C ..540..743..2104...6034..17094...51268...153144...446786...1313726....3893926
%C .1015.1361..4715..14106..48435..153144...561724..1703644...6132232...19020918
%C .1786.2469..9080..32496.115722..446786..1703644..6295926..23598948...89318272
%C .3304.4485.20093..75202.323733.1313726..6132232.23598948.107865659..426936240
%C .5862.8183.38864.175008.784568.3893926.19020918.89318272.426936240.2065840014
%H R. H. Hardin, <a href="/A261292/b261292.txt">Table of n, a(n) for n = 1..1011</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 12] for n>13
%F k=2: [order 16] for n>17
%F k=3: [order 22] for n>26
%F k=4: [order 24] for n>28
%F k=5: [order 36] for n>41
%F k=6: [order 41] for n>48
%F k=7: [order 58] for n>69
%e Some solutions for n=4 k=4
%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..0..0....1..0..1..0..0..0....1..0..1..0..0..0....0..0..0..1..0..1
%e ..0..1..0..1..0..1....0..1..0..1..0..1....0..0..0..1..0..1....1..0..1..0..0..0
%e ..0..0..1..0..1..0....1..0..1..0..1..0....1..0..1..0..1..0....0..1..0..1..0..1
%e ..0..1..0..1..0..1....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....0..0..1..0..1..0....0..0..1..0..1..0....0..1..0..0..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Aug 14 2015