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%I #4 Jan 30 2014 06:53:28
%S 81,211,211,550,639,550,1517,1956,1956,1517,4227,6469,6879,6469,4227,
%T 12072,21829,26724,26724,21829,12072,34817,76632,105206,127113,105206,
%U 76632,34817,101881,274715,437291,607539,607539,437291,274715,101881
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the maximum plus the upper median plus the lower median minus the minimum of every 2X2 subblock equal
%C Table starts
%C .....81......211.......550.......1517........4227........12072..........34817
%C ....211......639......1956.......6469.......21829........76632.........274715
%C ....550.....1956......6879......26724......105206.......437291........1848980
%C ...1517.....6469.....26724.....127113......607539......3160902.......16715765
%C ...4227....21829....105206.....607539.....3413516.....21593010......134575906
%C ..12072....76632....437291....3160902....21593010....173486981.....1348210352
%C ..34817...274715...1848980...16715765...134575906...1348210352....12274465993
%C .101881..1011801...8110850...93822025...924460811..12005446008...137842125459
%C .300694..3796026..36063603..532796164..6207464355.102540924177..1381237105116
%C .896941.14529341.164600818.3156424373.45401368428.988394918974.17192183061068
%H R. H. Hardin, <a href="/A236728/b236728.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 20]
%F k=2: [order 41]
%F k=3: [order 81]
%e Some solutions for n=4 k=4
%e ..1..2..1..2..1....2..1..1..2..1....0..0..0..1..2....1..2..1..0..1
%e ..2..0..2..0..2....1..2..2..1..0....2..2..2..1..2....0..2..2..2..2
%e ..2..1..2..1..2....0..1..1..2..1....2..2..2..1..2....2..1..0..1..0
%e ..2..0..2..2..2....1..2..0..1..2....2..2..2..1..2....2..2..2..2..2
%e ..2..1..2..1..0....1..0..2..1..0....0..0..0..1..2....2..1..0..1..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 30 2014
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