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Number of nX2 0..3 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other
1

%I #5 Mar 31 2012 12:36:44

%S 6,8,137,98,1416,715,9424,3977,47509,17474,195020,65271,685365,212409,

%T 2127347,621431,5970292,1659237,15403848,4110026,37018776,9536251,

%U 83699540,20927871,179497978,43720826,367499724,87495195,722212122

%N Number of nX2 0..3 arrays with rows and columns lexicographically nondecreasing and the instance counts of every value within one of each other

%C Column 2 of A201393

%H R. H. Hardin, <a href="/A201387/b201387.txt">Table of n, a(n) for n = 1..78</a>

%e Some solutions for n=10

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

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

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

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

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

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 30 2011