%I #4 Feb 05 2014 05:31:48
%S 256,1076,1076,4770,6200,4770,22420,37858,37858,22420,107092,246916,
%T 316036,246916,107092,523218,1641592,2836058,2836058,1641592,523218,
%U 2580120,11208306,25995322,35342748,25995322,11208306,2580120,12870804
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median minus the lower median minus the minimum of every 2X2 subblock equal
%C Table starts
%C .......256........1076..........4770...........22420............107092
%C ......1076........6200.........37858..........246916...........1641592
%C ......4770.......37858........316036.........2836058..........25995322
%C .....22420......246916.......2836058........35342748.........450437732
%C ....107092.....1641592......25995322.......450437732........7967160058
%C ....523218....11208306.....245347820......5924283662......145427157438
%C ...2580120....77496396....2348424370.....79100011764.....2691555338564
%C ..12870804...543475684...22810197506...1072438817644....50555783299908
%C ..64634026..3843695622..223516305332..14686014044662...958982350912524
%C .326922108.27411717100.2208156420722.203006833705360.18370509923974254
%H R. H. Hardin, <a href="/A237218/b237218.txt">Table of n, a(n) for n = 1..111</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 27]
%F k=2: [order 58]
%e Some solutions for n=2 k=4
%e ..0..1..0..1..2....2..1..1..3..2....2..1..2..1..2....0..3..2..3..1
%e ..2..1..0..1..0....0..2..3..2..0....1..1..1..1..1....1..0..1..0..2
%e ..1..0..1..0..1....3..2..0..2..3....2..1..2..1..2....0..3..2..3..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 05 2014