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A219381 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array 13

%I

%S 3,3,6,6,7,10,10,14,23,15,15,25,84,53,21,21,40,315,344,103,28,28,66,

%T 957,2275,1271,182,36,36,103,2792,11861,15256,4116,302,45,45,157,7472,

%U 60738,143187,88117,12452,478,55,55,234,18910,278221,1307685,1487707,471820

%N T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..2 nXk array

%C Table starts

%C ..3....3......6.......10.........15.........21..........28.........36........45

%C ..6....7.....14.......25.........40.........66.........103........157.......234

%C .10...23.....84......315........957.......2792........7472......18910.....45821

%C .15...53....344.....2275......11861......60738......278221....1210223...4982663

%C .21..103...1271....15256.....143187....1307685....10491397...79639624.570036552

%C .28..182...4116....88117....1487707...23986853...336754108.4486562590

%C .36..302..12452...471820...14318103..409150493.10160088596

%C .45..478..35741..2391887..131239201.6702007395

%C .55..728..97942.11508779.1147488045

%C .66.1073.256627.52475021

%C .78.1537.644220

%C .91.2147

%H R. H. Hardin, <a href="/A219381/b219381.txt">Table of n, a(n) for n = 1..96</a>

%e Some solutions for n=3 k=4

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

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

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

%Y Column 1 is A000217(n+1)

%Y Column 2 is A219167

%Y Row 1 is A000217 for n>1

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 19 2012

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Last modified October 24 10:40 EDT 2021. Contains 348225 sequences. (Running on oeis4.)