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%I #4 Jan 29 2014 06:52:09
%S 256,2968,2968,34800,80008,34800,407904,2181116,2181116,407904,
%T 4780656,59464564,139039736,59464564,4780656,55986224,1618144324,
%U 8837067764,8837067764,1618144324,55986224,655930368,44032289456,560696734212
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the maximum plus the minimum minus the upper median minus the lower median of every 2X2 subblock
%C Table starts
%C ........256..........2968..........34800..........407904.........4780656
%C .......2968.........80008........2181116........59464564......1618144324
%C ......34800.......2181116......139039736......8837067764....560696734212
%C .....407904......59464564.....8837067764...1309409137556.193437989847244
%C ....4780656....1618144324...560696734212.193437989847244
%C ...55986224...44032289456.35575423589536
%C ..655930368.1198678030904
%C .7685235904
%H R. H. Hardin, <a href="/A236592/b236592.txt">Table of n, a(n) for n = 1..39</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 22]
%e Some solutions for n=2 k=4
%e ..0..0..1..3..0....0..0..2..2..0....0..0..0..2..0....0..0..3..1..0
%e ..0..0..0..0..3....0..0..1..0..3....0..0..2..3..1....0..0..0..1..1
%e ..0..3..3..0..1....0..2..2..0..0....0..1..2..1..2....0..3..1..2..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 29 2014