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A223850 T(n,k)=Number of nXk 0..3 arrays with rows and columns unimodal.

%I A223850 #6 Jul 23 2025 04:35:42
%S A223850 4,16,16,50,256,50,130,2500,2500,130,296,16900,64660,16900,296,610,
%T A223850 87616,1006318,1006318,87616,610,1163,372100,10804883,32464394,
%U A223850 10804883,372100,1163,2083,1352569,87613063,664770145,664770145,87613063,1352569,2083
%N A223850 T(n,k)=Number of nXk 0..3 arrays with rows and columns unimodal.
%C A223850 Table starts
%C A223850 ....4.......16..........50............130...............296................610
%C A223850 ...16......256........2500..........16900.............87616.............372100
%C A223850 ...50.....2500.......64660........1006318..........10804883...........87613063
%C A223850 ..130....16900.....1006318.......32464394.........664770145.........9625018705
%C A223850 ..296....87616....10804883......664770145.......24291817048.......594861333098
%C A223850 ..610...372100....87613063.....9625018705......594861333098.....23571122875874
%C A223850 .1163..1352569...570145144...106061178908....10609537390768....655695544507798
%C A223850 .2083..4338889..3107412546...936977517660...146233793223364..13664368909406118
%C A223850 .3544.12559936.14632983606..6894239747078..1627190607796056.223826020405698042
%C A223850 .5776.33362176.60951077586.43487182160312.15110227641526318
%H A223850 R. H. Hardin, <a href="/A223850/b223850.txt">Table of n, a(n) for n = 1..111</a>
%F A223850 Empirical: columns k=1..5 are polynomials of degree 6*k
%e A223850 Some solutions for n=3 k=4
%e A223850 ..0..3..3..0....0..2..3..2....0..2..2..0....0..1..2..2....0..0..1..1
%e A223850 ..0..0..3..2....0..1..3..3....0..3..2..0....0..2..3..0....1..1..2..1
%e A223850 ..0..0..1..0....0..0..3..0....0..1..3..2....0..2..1..0....0..0..1..0
%Y A223850 Column 1 is A223659
%Y A223850 Column 2 is A223756
%K A223850 nonn,tabl
%O A223850 1,1
%A A223850 _R. H. Hardin_ Mar 27 2013