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Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX7 array
1

%I #4 Nov 17 2012 07:03:41

%S 28,165,6647,204842,5595137,132409292,2898775988,61440315340,

%T 1268571836942,25181695745066,476652751338079,8610780294241502,

%U 149111690333129713,2485299355179037240,39992792294223348706

%N Number of nX7 arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nX7 array

%C Column 7 of A219299

%H R. H. Hardin, <a href="/A219298/b219298.txt">Table of n, a(n) for n = 1..16</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 17 2012