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%I #4 Jan 30 2014 07:11:41
%S 81,345,345,1497,2471,1497,6663,17583,17583,6663,29617,131147,203517,
%T 131147,29617,132471,975553,2541745,2541745,975553,132471,592001,
%U 7370761,31912919,55635639,31912919,7370761,592001,2651151,55873999,411993973
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the upper median minus the lower median of every 2X2 subblock equal
%C Table starts
%C .......81.........345...........1497.............6663...............29617
%C ......345........2471..........17583...........131147..............975553
%C .....1497.......17583.........203517..........2541745............31912919
%C .....6663......131147........2541745.........55635639..........1233474275
%C ....29617......975553.......31912919.......1233474275.........48557573047
%C ...132471.....7370761......411993973......28500435385.......2008004960815
%C ...592001....55873999.....5366177421.....665661690049......83786186492615
%C ..2651151...426890075....70784178483...15768609931211....3541401724832083
%C .11872153..3275546533...939861919575..375569735335243..150147489759130827
%C .53217175.25261075001.12559245518677.8989526603612093.6386836928285332919
%H R. H. Hardin, <a href="/A236737/b236737.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 10]
%F k=2: [order 20]
%F k=3: [order 49]
%e Some solutions for n=2 k=4
%e ..1..1..0..1..2....1..2..0..1..1....1..2..1..2..1....1..1..1..1..0
%e ..1..1..1..1..1....1..1..1..2..0....0..1..0..1..1....1..1..1..0..0
%e ..1..1..2..0..2....2..0..1..0..0....1..2..1..2..1....2..1..1..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 30 2014
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