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%I #4 Jan 27 2014 04:36:45
%S 81,583,583,3987,9839,3987,26091,156087,155757,26091,167095,2339313,
%T 5674353,2330087,167095,1054515,34149421,192914141,192685833,33951181,
%U 1054515,6595119,489696691,6339553813,14826588345,6319589033,486130993
%N T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise
%C Table starts
%C .......81.........583............3987..............26091..............167095
%C ......583........9839..........156087............2339313............34149421
%C .....3987......155757.........5674353..........192914141..........6339553813
%C ....26091.....2330087.......192685833........14826588345.......1098468030593
%C ...167095....33951181......6319589033......1095464601321.....182308906034159
%C ..1054515...486130993....202321147069.....78726807207771...29352647489506731
%C ..6595119..6894201989...6387140371741...5564322438106237.4636588642195617443
%C .41000659.97206875033.199871719030679.389132366606307561
%H R. H. Hardin, <a href="/A236490/b236490.txt">Table of n, a(n) for n = 1..71</a>
%F Empirical for column k:
%F k=1: a(n) = 8*a(n-1) -a(n-2) -64*a(n-3) -14*a(n-4) +88*a(n-5) +8*a(n-6) -24*a(n-7)
%F k=2: [order 30]
%F Empirical for row n:
%F n=1: a(n) = 8*a(n-1) -a(n-2) -64*a(n-3) -14*a(n-4) +88*a(n-5) +8*a(n-6) -24*a(n-7)
%F n=2: [order 34]
%e Some solutions for n=2 k=4
%e ..1..0..0..2..0....1..0..2..1..0....1..0..2..0..2....1..0..1..1..0
%e ..0..1..1..0..2....0..0..0..0..2....0..0..1..0..2....0..0..0..2..1
%e ..1..1..0..1..1....1..0..1..0..2....1..1..1..1..1....0..1..1..0..2
%Y Column and row 1 are A235432
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 27 2014
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