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Number of nX5 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX5 array
1

%I #4 Nov 17 2012 05:40:26

%S 5,12,79,423,1751,6546,22970,76311,240506,721669,2070006,5692328,

%T 15039421,38255848,93891578,222815518,512310486,1143423966,2481561322,

%U 5245536144,10815752321,21783909864,42913710064,82788030040,156582776591

%N Number of nX5 arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nX5 array

%C Column 5 of A219291

%H R. H. Hardin, <a href="/A219288/b219288.txt">Table of n, a(n) for n = 1..210</a>

%F Empirical: a(n) = (1/731867136000)*n^17 - (1/5419008000)*n^16 + (503/36324288000)*n^15 - (2087/3321077760)*n^14 + (4063429/249080832000)*n^13 - (230903/4257792000)*n^12 - (1001500007/67060224000)*n^11 + (582506191/812851200)*n^10 - (154575523979/8128512000)*n^9 + (754768201963/2322432000)*n^8 - (31748696208149/9580032000)*n^7 + (147171415529/19353600)*n^6 + (77810053798256237/217945728000)*n^5 - (73876088160824137/11176704000)*n^4 + (1127005910876695111/18162144000)*n^3 - (10107497533814981/28828800)*n^2 + (1989207040361119/1750320)*n - 1636876189 for n>14

%e Some solutions for n=3

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

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

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

%K nonn

%O 1,1

%A _R. H. Hardin_ Nov 17 2012