Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%I #4 Feb 06 2014 06:45:49
%S 256,1980,1980,15082,41220,15082,120808,821234,821234,120808,972356,
%T 17627820,39609294,17627820,972356,7935194,380945760,2137181038,
%U 2137181038,380945760,7935194,65088736,8406402902,114598315886
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum minus the minimum of every 2X2 subblock equal
%C Table starts
%C .........256.............1980................15082....................120808
%C ........1980............41220...............821234..................17627820
%C .......15082...........821234.............39609294................2137181038
%C ......120808.........17627820...........2137181038..............300627324700
%C ......972356........380945760.........114598315886............41627000140944
%C .....7935194.......8406402902........6318680517398..........5948570417327342
%C ....65088736.....187274820848......350887832861914........853258883465178716
%C ...536949612....4212082221444....19674122669454962.....123366442531682683412
%C ..4446049514...95349805566302..1108527743646628762...17883818961748533773410
%C .36942292664.2169810608997912.62708450627429169774.2598541529967055129095912
%H R. H. Hardin, <a href="/A237340/b237340.txt">Table of n, a(n) for n = 1..112</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 12]
%F k=2: [order 25]
%F k=3: [order 59]
%e Some solutions for n=2 k=4
%e ..0..0..1..0..2....0..0..0..2..1....0..0..0..0..1....0..0..0..3..2
%e ..0..2..0..2..0....0..3..0..3..0....0..3..0..3..0....0..3..0..0..1
%e ..0..0..2..1..0....2..3..3..3..3....1..0..1..1..2....2..1..3..3..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Feb 06 2014