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Number of 7Xn 0..2 arrays with rows unimodal and columns nondecreasing
1

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

%S 36,1296,28176,424326,4844576,44435746,340780382,2249643632,

%T 13068669308,67970305364,320903298144,1390873688506,5586138847981,

%U 20953028554541,73888808853350,246365532350644,780525967950004,2359724042194860

%N Number of 7Xn 0..2 arrays with rows unimodal and columns nondecreasing

%C Row 7 of A224190

%H R. H. Hardin, <a href="/A224194/b224194.txt">Table of n, a(n) for n = 1..210</a>

%H R. H. Hardin, <a href="/A224194/a224194.txt">Empirical polynomial of degree 28</a>

%F Empirical polynomial of degree 28 (see link above)

%e Some solutions for n=3

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Apr 01 2013