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Number of (n+2)X3 0..7 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order
1

%I #9 Mar 31 2012 12:36:01

%S 6842284,284037544,8653394212,212298419684,4370405405266,

%T 77657199293322,1216284173329482,17062128865116751,217083576402029968,

%U 2530473438240068012,27249849558442300355,272981324157512302120

%N Number of (n+2)X3 0..7 arrays with each 3X3 subblock having rows and columns in lexicographically nondecreasing order

%C Column 1 of A185435

%H R. H. Hardin, <a href="/A185427/b185427.txt">Table of n, a(n) for n = 1..200</a>

%H R. H. Hardin, <a href="/A185427/a185427.txt">Formula: polynomial of degree 119</a>

%F Polynomial of degree 119, see link

%e Some solutions for 4X3

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

%e ..0..0..6....0..0..4....0..0..4....0..0..4....0..0..2....0..0..2....0..0..4

%e ..0..4..4....2..7..3....2..6..1....2..4..4....0..4..2....0..7..2....2..5..6

%e ..1..4..6....4..5..3....5..4..2....4..7..7....5..5..7....7..1..3....5..4..0

%K nonn

%O 1,1

%A _R. H. Hardin_ Jan 27 2011