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%I #8 Jun 14 2014 02:39:03
%S 148,4102,52591,422488,2469182,11444292,44435746,150015321,452158538,
%T 1240740774,3145970477,7456438392,16672410340,35430409240,71995370532,
%U 140596619273,264988109400,483746928198,857992826459,1482422036736
%N Number of n X 6 0..2 arrays with rows unimodal and columns nondecreasing.
%C Column 6 of A224190.
%H R. H. Hardin, <a href="/A224188/b224188.txt">Table of n, a(n) for n = 1..210</a>
%F Empirical: a(n) = (761/8553600)*n^12 + (811/302400)*n^11 + (98797/2721600)*n^10 + (105751/362880)*n^9 + (2800757/1814400)*n^8 + (429167/75600)*n^7 + (1442737/97200)*n^6 + (373033/13440)*n^5 + (100027061/2721600)*n^4 + (15191569/453600)*n^3 + (16485617/831600)*n^2 + (4273/630)*n + 1.
%e Some solutions for n=3:
%e ..0..0..1..1..1..0....0..1..1..0..0..0....0..2..2..1..1..0....0..1..1..1..0..0
%e ..0..1..1..1..2..1....0..1..1..2..0..0....0..2..2..2..1..0....1..1..2..2..2..0
%e ..0..1..1..1..2..2....0..2..2..2..2..0....2..2..2..2..2..0....2..2..2..2..2..0
%K nonn
%O 1,1
%A _R. H. Hardin_, Apr 01 2013
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