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%I #4 Jan 15 2014 08:27:14
%S 256,2982,2982,33640,103106,33640,343500,3493283,3493283,343500,
%T 3415268,102505743,351909466,102505743,3415268,32611962,2937817702,
%U 30537258362,30537258362,2937817702,32611962,306033109,78357821891,2563845268583
%N T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the sum of each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise
%C Table starts
%C ......256........2982...........33640.............343500.............3415268
%C .....2982......103106.........3493283..........102505743..........2937817702
%C ....33640.....3493283.......351909466........30537258362.......2563845268583
%C ...343500...102505743.....30537258362......8031688723354....2069114938398467
%C ..3415268..2937817702...2563845268583...2069114938398467.1663136023018532612
%C .32611962.78357821891.197624940459675.491993262003115868
%H R. H. Hardin, <a href="/A235747/b235747.txt">Table of n, a(n) for n = 1..49</a>
%e Some solutions for n=2 k=4
%e ..0..0..3..0..3....0..0..0..1..0....0..0..3..1..2....0..0..2..0..0
%e ..0..0..2..3..0....0..0..2..0..3....0..0..2..1..3....0..0..0..3..3
%e ..0..0..0..2..1....0..0..1..1..2....0..0..3..2..1....0..0..2..0..1
%Y Column 1 is A235502
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Jan 15 2014
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