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%I #4 Apr 13 2013 08:26:50
%S 512,1280,1280,3200,2688,3200,8000,5696,5696,8000,22400,12320,10304,
%T 12320,22400,62720,31232,19328,19328,31232,62720,175616,80160,44096,
%U 31616,44096,80160,175616,514304,209216,103232,64256,64256,103232,209216
%N T(n,k)=Number of (n+2)X(k+2) 0..1 matrices with each 3X3 subblock having the same population
%C Table starts
%C .....512....1280....3200....8000...22400...62720..175616...514304..1506176
%C ....1280....2688....5696...12320...31232...80160..209216...587424..1660544
%C ....3200....5696...10304...19328...44096..103232..250304...672320..1832000
%C ....8000...12320...19328...31616...64256..135872..303488...775232..2028416
%C ...22400...31232...44096...64256..115328..215744..430208..1012928..2472320
%C ...62720...80160..103232..135872..215744..356352..630080..1352064..3050048
%C ..175616..209216..250304..303488..430208..630080..983168..1890368..3876992
%C ..514304..587424..672320..775232.1012928.1352064.1890368..3220992..5860928
%C .1506176.1660544.1832000.2028416.2472320.3050048.3876992..5860928..9400448
%C .4410944.4729760.5072000.5447168.6281600.7286336.8594432.11658176.16540160
%H R. H. Hardin, <a href="/A224651/b224651.txt">Table of n, a(n) for n = 1..198</a>
%F Empirical recurrences for column k:
%F k=1: order 8
%F k=2..4: same order 20
%F k=5: order 21
%e Some solutions for n=2 k=4
%e ..1..1..0..1..1..0....0..0..1..0..1..0....1..0..0..1..0..0....1..1..1..0..1..1
%e ..0..1..1..1..0..0....1..1..0..1..0..1....0..0..1..1..0..0....0..1..0..0..1..1
%e ..1..0..0..0..1..1....1..1..0..1..1..0....1..1..0..0..1..1....0..0..1..1..0..0
%e ..0..1..1..0..1..1....0..0..1..0..1..0....0..0..1..0..0..1....1..1..1..0..1..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_ Apr 13 2013
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