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%I A237398 #4 Feb 07 2014 05:28:28
%S A237398 256,1314,1314,7172,11988,7172,41062,114034,114034,41062,239176,
%T A237398 1153778,1794402,1153778,239176,1413864,11725568,30590608,30590608,
%U A237398 11725568,1413864,8412540,121195320,514064312,902019154,514064312,121195320
%N A237398 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the maximum plus the upper median minus the lower median of every 2X2 subblock equal
%C A237398 Table starts
%C A237398 .......256.........1314...........7172.............41062..............239176
%C A237398 ......1314........11988.........114034...........1153778............11725568
%C A237398 ......7172.......114034........1794402..........30590608...........514064312
%C A237398 .....41062......1153778.......30590608.........902019154.........25829139276
%C A237398 ....239176.....11725568......514064312.......25829139276.......1235023110530
%C A237398 ...1413864....121195320.....8872195706......769041196608......62405831529234
%C A237398 ...8412540...1254144270...152180119484....22613650645686....3084781518411320
%C A237398 ..50339772..13055041806..2639996468928...676946049444764..156724811087291634
%C A237398 .302048100.135960274878.45688402987094.20153268873982042.7881021180947620852
%H A237398 R. H. Hardin, <a href="/A237398/b237398.txt">Table of n, a(n) for n = 1..97</a>
%F A237398 Empirical for column k:
%F A237398 k=1: [linear recurrence of order 38]
%F A237398 k=2: [order 97]
%e A237398 Some solutions for n=2 k=4
%e A237398 ..0..2..3..3..2....0..2..3..1..3....0..2..3..1..2....0..0..3..2..2
%e A237398 ..1..3..0..2..3....1..3..1..2..1....2..1..2..2..0....1..2..2..1..3
%e A237398 ..0..2..3..3..2....3..2..3..0..3....0..2..3..1..2....2..3..0..0..1
%K A237398 nonn,tabl
%O A237398 1,1
%A A237398 _R. H. Hardin_, Feb 07 2014

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