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Number of nX6 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease
1

%I #5 Mar 31 2012 12:36:43

%S 0,80,1005,10723,104429,994581,9782242,98775535,992953397,9709526788,

%T 91544747988,832089697564,7315961756006,62484354188277,

%U 520512891471809,4244245429549164,33977387060549017,267729504066241307

%N Number of nX6 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease

%C Column 6 of A201195

%H R. H. Hardin, <a href="/A201193/b201193.txt">Table of n, a(n) for n = 1..19</a>

%e Some solutions for n=4

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

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

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

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

%K nonn

%O 1,2

%A _R. H. Hardin_ Nov 28 2011