%I #4 Feb 03 2014 05:38:30
%S 81,484,484,2928,4526,2928,17644,42300,42300,17644,106528,395028,
%T 612776,395028,106528,641736,3675408,8844156,8844156,3675408,641736,
%U 3871696,34334240,127825204,199693088,127825204,34334240,3871696,23356112
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock
%C Table starts
%C ........81.........484.........2928.........17644........106528........641736
%C .......484........4526........42300........395028.......3675408......34334240
%C ......2928.......42300.......612776.......8844156.....127825204....1855507536
%C .....17644......395028......8844156.....199693088....4496960188..102542293272
%C ....106528.....3675408....127825204....4496960188..158494245568.5671827576224
%C ....641736....34334240...1855507536..102542293272.5671827576224
%C ...3871696...320714572..26933704424.2324982572036
%C ..23356112..2993549732.389584703724
%C .140860224.27915633640
%C .849369952
%H R. H. Hardin, <a href="/A237082/b237082.txt">Table of n, a(n) for n = 1..60</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 10]
%F k=2: [order 35]
%e Some solutions for n=2 k=4
%e ..0..1..1..1..0....0..0..1..2..0....0..0..1..0..0....0..0..0..1..2
%e ..1..1..1..0..2....0..0..2..2..0....2..1..0..0..2....1..2..0..1..1
%e ..1..1..2..1..2....1..0..0..0..0....2..0..0..2..0....1..2..2..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 03 2014