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A235954 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median value of each 2X2 subblock 9

%I

%S 81,294,294,905,722,905,2584,1372,1372,2584,7353,2660,1494,2660,7353,

%T 20800,5034,1780,1780,5034,20800,58896,9752,2478,2356,2478,9752,58896,

%U 167240,18468,3504,3496,3496,3504,18468,167240,474948,35794,4884,5036

%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the upper median value of each 2X2 subblock

%C Table starts

%C ......81....294...905..2584..7353.20800.58896.167240.474948.1344000.3811120

%C .....294....722..1372..2660..5034..9752.18468..35794..67924..131474..251786

%C .....905...1372..1494..1780..2478..3504..4884...6888...9816...13920...19554

%C ....2584...2660..1780..2356..3496..5036..7320..11908..17592...25318...36632

%C ....7353...5034..2478..3496..5358..6728..9260..14016..20570...26912...36512

%C ...20800...9752..3504..5036..6728.10420.14440..23148..33704...52348...72200

%C ...58896..18468..4884..7320..9260.14440.21288..29328..41748...57760...83202

%C ..167240..35794..6888.11908.14016.23148.29328..49860..70224..108252..146640

%C ..474948..67924..9816.17592.20570.33704.41748..70224.114312..134816..190180

%C .1344000.131474.13920.25318.26912.52348.57760.108252.134816..228100..288800

%H R. H. Hardin, <a href="/A235954/b235954.txt">Table of n, a(n) for n = 1..2591</a>

%F Empirical for diagonal and column k:

%F diagonal: a(n) = 41*a(n-4) -400*a(n-8) for n>13

%F k=1: a(n) = 8*a(n-3) +36*a(n-4) +48*a(n-6) for n>9

%F k=2: a(n) = 3*a(n-3) +10*a(n-4) -12*a(n-7) -6*a(n-8) for n>12

%F k=3: a(n) = 4*a(n-4) for n>13

%F k=4: a(n) = 5*a(n-4) for n>14

%F k=5: a(n) = 4*a(n-4) for n>13

%F k=6: a(n) = 5*a(n-4) for n>14

%F k=7: a(n) = 4*a(n-4) for n>15

%e Some solutions for n=5 k=4

%e ..0..1..0..2..1....1..0..0..0..2....1..1..2..1..0....1..2..0..0..1

%e ..0..0..2..0..0....1..0..1..2..1....1..2..0..0..0....2..1..0..1..2

%e ..1..2..1..0..1....0..0..2..1..0....2..1..0..1..2....0..0..0..2..1

%e ..2..0..0..0..2....1..2..0..0..0....0..0..0..2..1....0..1..2..1..0

%e ..1..0..1..2..1....2..1..0..2..1....0..1..2..0..0....1..2..0..0..0

%e ..0..0..2..0..0....0..0..0..1..2....1..2..1..0..1....2..1..0..2..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Jan 17 2014

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Last modified March 26 16:33 EDT 2019. Contains 321510 sequences. (Running on oeis4.)