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A224187 Number of nX5 0..2 arrays with rows unimodal and columns nondecreasing 1

%I

%S 86,1600,14751,89380,408222,1519738,4844576,13669953,34953776,

%T 82399174,181434331,376946128,744873156,1409068188,2565196232,

%U 4513845865,7705502706,12800568660,20748212991,32888515396,51083111090,77880377510

%N Number of nX5 0..2 arrays with rows unimodal and columns nondecreasing

%C Column 5 of A224190

%H R. H. Hardin, <a href="/A224187/b224187.txt">Table of n, a(n) for n = 1..210</a>

%F 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

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 01 2013

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Last modified July 4 20:08 EDT 2022. Contains 355086 sequences. (Running on oeis4.)