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Number of nX2 0..4 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease
1

%I #6 Mar 31 2012 12:36:44

%S 0,0,15,213,2007,15497,106589,680287,4118949,23981337,135473879,

%T 747163898,4040984182,21504391182,112888169123,585765427216,

%U 3009175376793,15324419276531,77445651022458,388752941316532

%N Number of nX2 0..4 arrays with every row and column running average nondecreasing rightwards and downwards but some diagonal running average having a decrease

%C Column 2 of A201345

%H R. H. Hardin, <a href="/A201340/b201340.txt">Table of n, a(n) for n = 1..96</a>

%e Some solutions for n=6

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

%e ..0..1....1..3....2..2....1..2....2..2....0..2....0..1....0..0....0..0....2..3

%e ..3..4....2..4....1..4....2..2....1..1....0..1....3..4....3..3....2..2....1..3

%e ..1..2....4..4....1..3....2..4....1..4....1..4....1..2....1..2....3..3....4..4

%e ..2..2....2..3....4..4....4..4....1..2....4..4....1..4....3..4....3..4....3..3

%e ..2..4....2..4....2..3....3..3....1..2....3..3....4..4....4..4....2..2....2..4

%K nonn

%O 1,3

%A _R. H. Hardin_ Nov 30 2011