%I #4 Feb 16 2014 06:03:10
%S 81,437,437,2417,5519,2417,13893,70435,70435,13893,81245,946063,
%T 2020033,946063,81245,482409,12909207,61286941,61286941,12909207,
%U 482409,2893685,178348911,1871339377,4202495253,1871339377,178348911,2893685,17487137
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum minus the minimum of every 2X2 subblock equal
%C Table starts
%C .......81.........437...........2417.............13893.................81245
%C ......437........5519..........70435............946063..............12909207
%C .....2417.......70435........2020033..........61286941............1871339377
%C ....13893......946063.......61286941........4202495253..........287601819479
%C ....81245....12909207.....1871339377......287601819479........43830625875881
%C ...482409...178348911....57597474709....19789034062007......6710777181199757
%C ..2893685..2478121687..1776214151413..1361783640641509...1026737324539406021
%C .17487137.34547541807.54843034007201.93760075445980377.157146320305650540261
%H R. H. Hardin, <a href="/A237945/b237945.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = 8*a(n-1) -a(n-2) -64*a(n-3) -14*a(n-4) +88*a(n-5) +8*a(n-6) -24*a(n-7)
%F k=2: [order 12]
%F k=3: [order 23]
%F k=4: [order 54]
%e Some solutions for n=2 k=4
%e ..0..0..1..0..1....0..0..2..1..0....0..0..2..1..2....0..0..0..1..2
%e ..0..2..1..2..0....2..0..0..2..1....0..2..2..0..0....2..0..2..0..2
%e ..2..1..0..2..0....0..0..2..0..0....1..2..0..2..2....0..0..1..0..1
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 16 2014