%I #4 Feb 09 2014 05:52:41
%S 256,1692,1692,11602,23680,11602,83104,330210,330210,83104,598364,
%T 4857060,9080246,4857060,598364,4364082,70923320,266120870,266120870,
%U 70923320,4364082,31944336,1050283590,7718716424,15808900408,7718716424
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median minus the lower median of every 2X2 subblock equal
%C Table starts
%C ......256........1692.........11602............83104..............598364
%C .....1692.......23680........330210..........4857060............70923320
%C ....11602......330210.......9080246........266120870..........7718716424
%C ....83104.....4857060.....266120870......15808900408........924306101684
%C ...598364....70923320....7718716424.....924306101684.....108563082111330
%C ..4364082..1050283590..228011672782...55265390979178...13080735236141448
%C .31944336.15572216080.6746760123582.3305459406659964.1575053689185059756
%H R. H. Hardin, <a href="/A237538/b237538.txt">Table of n, a(n) for n = 1..84</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 16]
%F k=2: [order 38]
%e Some solutions for n=2 k=4
%e ..0..0..0..2..0....0..0..2..3..2....0..0..2..3..1....0..0..2..2..0
%e ..1..0..2..2..2....1..2..1..0..1....0..2..3..3..3....0..2..2..2..3
%e ..1..2..2..2..0....1..2..1..0..3....0..0..2..3..2....2..3..1..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 09 2014