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A219773 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array 12

%I

%S 2,2,3,3,4,4,4,6,6,5,5,9,14,8,6,6,12,33,29,10,7,7,15,65,100,56,12,8,8,

%T 18,114,291,283,101,14,9,9,21,189,771,1229,732,171,16,10,10,24,298,

%U 1887,4837,4795,1745,274,18,11,11,27,450,4278,17259,27921,17186,3881,419,20

%N T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array

%C Table starts

%C ..2..2....3.....4.......5.........6...........7............8.............9

%C ..3..4....6.....9......12........15..........18...........21............24

%C ..4..6...14....33......65.......114.........189..........298...........450

%C ..5..8...29...100.....291.......771........1887.........4278..........9072

%C ..6.10...56...283....1229......4837.......17259........57116........176642

%C ..7.12..101...732....4795.....27921......147012.......723580.......3337980

%C ..8.14..171..1745...17186....147717.....1163030......8679368......61361285

%C ..9.16..274..3881...57060....725287.....8624956.....98763027....1085502065

%C .10.18..419..8149..177629...3342140....60333410...1063904653...18231769222

%C .11.20..616.16288..522893..14569918...399317172..10816200665..287942095263

%C .12.22..876.31169.1463248..60328126..2503952448.103753630773.4270833925408

%C .13.24.1211.57354.3907906.237879223.14900183092.940929072946

%H R. H. Hardin, <a href="/A219773/b219773.txt">Table of n, a(n) for n = 1..197</a>

%e Some solutions for n=3 k=4

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

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

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

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_ Nov 27 2012

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Last modified July 4 10:11 EDT 2022. Contains 355075 sequences. (Running on oeis4.)