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Number of 5Xn 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 nonincreasing columns, 0..2 5Xn array
1

%I #4 Nov 25 2012 04:54:52

%S 15,35,269,1688,8964,44736,219216,1062133,5046678,23361295,105246826,

%T 462379361,1984693730,8329188237,34174571720,137072090506,

%U 537533392034,2061741321158,7738348853856,28437341923159,102381325106959

%N Number of 5Xn 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 nonincreasing columns, 0..2 5Xn array

%C Row 5 of A219686

%H R. H. Hardin, <a href="/A219689/b219689.txt">Table of n, a(n) for n = 1..100</a>

%e Some solutions for n=3

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

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

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 25 2012