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%I #4 Jan 17 2014 16:50:36
%S 256,1964,1964,13194,16744,13194,85476,119770,119770,85476,556486,
%T 856720,872370,856720,556486,3614066,6207010,7116040,7116040,6207010,
%U 3614066,23457361,44922684,60649470,77914322,60649470,44922684,23457361
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays colored with the upper median value of each 2X2 subblock
%C Table starts
%C ........256.........1964.........13194...........85476............556486
%C .......1964........16744........119770..........856720...........6207010
%C ......13194.......119770........872370.........7116040..........60649470
%C ......85476.......856720.......7116040........77914322.........886929448
%C .....556486......6207010......60649470.......886929448.......13646551852
%C ....3614066.....44922684.....512448944.....10093660184......206960732188
%C ...23457361....325144432....4326517048....115542593952.....3197537340066
%C ..152354048...2361022844...36654517336...1334376486922....49364486174800
%C ..990262160..17119474440..310058272376..15242379756616...758580259046316
%C .6430004688.124220037442.2622217549676.174871682199140.11656623605416228
%H R. H. Hardin, <a href="/A235972/b235972.txt">Table of n, a(n) for n = 1..144</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 10] for n>13
%F k=2: [order 29] for n>34
%F k=3: [order 88] for n>95
%e Some solutions for n=2 k=4
%e ..1..0..2..0..2....0..0..2..0..3....0..1..0..0..1....0..0..3..0..2
%e ..0..3..1..0..3....1..0..1..3..0....3..2..1..0..2....2..1..2..3..0
%e ..0..0..0..0..1....1..0..0..0..0....3..3..1..1..3....3..0..0..0..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 17 2014
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