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A229320 T(n,k)=Number of nXk 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..3 array without adjacent equal elements in the latter 8

%I

%S 4,14,14,50,154,50,176,1494,1494,176,622,13968,34022,13968,622,2196,

%T 129766,717882,717882,129766,2196,7756,1203222,14972226,33330044,

%U 14972226,1203222,7756,27390,11146054,310664552,1520769276,1520769276

%N T(n,k)=Number of nXk 0..3 arrays of the median of the corresponding element, the element to the east and the element to the south in a larger (n+1)X(k+1) 0..3 array without adjacent equal elements in the latter

%C Table starts

%C .....4........14...........50.............176..............622.............2196

%C ....14.......154.........1494...........13968...........129766..........1203222

%C ....50......1494........34022..........717882.........14972226........310664552

%C ...176.....13968.......717882........33330044.......1520769276......69027667944

%C ...622....129766.....14972226......1520769276.....151503568022...14999158146398

%C ..2196...1203222....310664552.....69027667944...14999158146398.3239971166331308

%C ..7756..11146054...6441333794...3129534386120.1483911991489430

%C .27390.103236194.133479301256.141829123448362

%H R. H. Hardin, <a href="/A229320/b229320.txt">Table of n, a(n) for n = 1..71</a>

%F Empirical for column k:

%F k=1: a(n) = 3*a(n-1) +2*a(n-2) -a(n-3) +2*a(n-4)

%F k=2: [order 65]

%e Some solutions for n=2 k=4

%e ..3..1..3..0....1..2..3..2....1..2..2..2....1..2..2..0....2..0..1..0

%e ..2..1..2..3....0..3..0..3....2..2..1..2....0..1..0..3....1..2..1..1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Sep 19 2013

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Last modified May 19 10:53 EDT 2022. Contains 353833 sequences. (Running on oeis4.)