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

%I #4 Nov 29 2012 16:41:02

%S 28,125,3195,88110,2061724,43528933,902318235,18538578004,

%T 371652215049,7198559552842,134467132939850,2424004506964009,

%U 42194853683204043,709602862144163249,11537471300800144853,181537308675432073506

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

%C Column 7 of A219852

%H R. H. Hardin, <a href="/A219851/b219851.txt">Table of n, a(n) for n = 1..20</a>

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 29 2012