%I #4 Feb 08 2014 06:34:14
%S 256,1464,1464,8770,15898,8770,55318,180730,180730,55318,357516,
%T 2218016,3903294,2218016,357516,2371070,27849668,92508252,92508252,
%U 27849668,2371070,15989568,361041844,2218452183,4269381134,2218452183,361041844
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the minimum minus the lower median of every 2X2 subblock equal
%C Table starts
%C .......256.........1464............8770..............55318...............357516
%C ......1464........15898..........180730............2218016.............27849668
%C ......8770.......180730.........3903294...........92508252...........2218452183
%C .....55318......2218016........92508252.........4269381134.........195900496272
%C ....357516.....27849668......2218452183.......195900496272.......16931153946501
%C ...2371070....361041844.....54882960676......9290034002140.....1516655769265371
%C ..15989568...4724446414...1356262078497....435555926502332...133299196435954608
%C .109427750..62643477220..33916082423836..20718223122880912.11926329656540065908
%C .756426182.833223795952.845731963650019.977441661859620206
%H R. H. Hardin, <a href="/A237488/b237488.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 30]
%F k=2: [order 88]
%e Some solutions for n=2 k=4
%e ..0..0..1..0..2....0..0..1..0..1....0..0..0..3..3....0..0..2..0..3
%e ..0..2..3..1..3....2..0..2..3..3....0..3..1..0..0....1..2..0..1..2
%e ..1..3..3..2..0....2..0..1..2..1....1..0..0..3..3....3..0..1..3..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 08 2014