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%I #4 Feb 04 2014 05:16:51
%S 256,1500,1500,8414,22960,8414,52484,333446,333446,52484,328768,
%T 5961802,9999802,5961802,328768,2145192,107652788,436271890,436271890,
%U 107652788,2145192,14152560,2051159992,17759803582,50384979024,17759803582
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median of every 2X2 subblock equal
%C Table starts
%C ......256........1500...........8414.............52484...............328768
%C .....1500.......22960.........333446...........5961802............107652788
%C .....8414......333446........9999802.........436271890..........17759803582
%C ....52484.....5961802......436271890.......50384979024........5202836871398
%C ...328768...107652788....17759803582.....5202836871398.....1265341553110578
%C ..2145192..2051159992...786068103136...584749165564886...343189152916040638
%C .14152560.39515565068.34365943860434.64333155899089090.89542359784737823891
%H R. H. Hardin, <a href="/A237142/b237142.txt">Table of n, a(n) for n = 1..199</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 22]
%F k=2: [order 44]
%F k=3: [order 93]
%e Some solutions for n=2 k=4
%e ..0..0..2..1..2....0..0..2..1..2....0..0..3..0..3....0..0..2..2..0
%e ..2..1..0..1..1....2..2..2..2..2....3..2..2..2..2....2..3..2..3..1
%e ..1..0..2..0..2....0..2..0..0..0....1..0..3..2..3....1..2..0..0..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 04 2014
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