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Number of 5Xn 0..3 arrays with rows unimodal and columns nondecreasing
1

%I #6 Aug 11 2014 22:45:51

%S 56,3136,99634,2086196,31831914,378122264,3661410444,29889154034,

%T 211009204916,1314178222276,7336228725354,37185201981670,

%U 172974779780114,745060738789758,2994209711354545,11299608627412727,40267814207071512

%N Number of 5Xn 0..3 arrays with rows unimodal and columns nondecreasing

%C Row 5 of A223987

%H R. H. Hardin, <a href="/A223990/b223990.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A223990/a223990.txt">Empirical polynomial of degree 30</a>

%F Empirical polynomial of degree 30 (see link above)

%e Some solutions for n=3

%e ..0..2..0....0..2..0....1..1..0....0..2..0....0..0..0....1..3..0....1..1..0

%e ..0..3..0....0..2..0....1..2..1....0..2..0....0..2..0....1..3..0....1..2..0

%e ..0..3..0....0..3..2....2..3..1....0..2..2....1..3..1....1..3..0....3..2..0

%e ..3..3..2....0..3..3....2..3..1....0..2..2....1..3..1....1..3..3....3..3..3

%e ..3..3..2....0..3..3....2..3..1....0..3..2....1..3..1....3..3..3....3..3..3

%K nonn

%O 1,1

%A _R. H. Hardin_ Mar 30 2013