A201190 - OEIS

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

%S 0,1,8,45,225,1005,4104,15592,55914,191522,632129,2024359,6323087,

%T 19343102,58140702,172156273,503228165,1454641954,4164043593,

%U 11818459242,33291210601,93152197045,259101275859,716858442400,1973889033615

%N Number of nX3 0..2 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease

%C Column 3 of A201195

%H R. H. Hardin, <a href="/A201190/b201190.txt">Table of n, a(n) for n = 1..100</a>

%e Some solutions for n=8

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

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

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

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

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

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

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

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

%K nonn

%O 1,3

%A _R. H. Hardin_ Nov 28 2011