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R. H. Hardin, <a href="/A224187/b224187.txt">Table of n, a(n) for n = 1..210</a>
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Number of nX5 0..2 arrays with rows unimodal and columns nondecreasing
86, 1600, 14751, 89380, 408222, 1519738, 4844576, 13669953, 34953776, 82399174, 181434331, 376946128, 744873156, 1409068188, 2565196232, 4513845865, 7705502706, 12800568660, 20748212991, 32888515396, 51083111090, 77880377510
1,1
Column 5 of A224190
Empirical: a(n) = (1009/907200)*n^10 + (913/36288)*n^9 + (15121/60480)*n^8 + (8677/6048)*n^7 + (226987/43200)*n^6 + (110621/8640)*n^5 + (3804217/181440)*n^4 + (206081/9072)*n^3 + (130433/8400)*n^2 + (3793/630)*n + 1
Some solutions for n=3
..0..1..0..0..0....0..1..2..1..1....0..0..1..1..1....0..1..2..1..1
..0..1..1..0..0....0..1..2..1..1....0..2..2..1..1....2..2..2..2..1
..1..2..2..2..2....0..1..2..2..2....0..2..2..1..1....2..2..2..2..1
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nonn
R. H. Hardin Apr 01 2013
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