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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
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, 18, 114, 291, 283, 101, 14, 9, 9, 21, 189, 771, 1229, 732, 171, 16, 10, 10, 24, 298, 1887, 4837, 4795, 1745, 274, 18, 11, 11, 27, 450, 4278, 17259, 27921, 17186, 3881, 419, 20
OFFSET
1,1
COMMENTS
Table starts
..2..2....3.....4.......5.........6...........7............8.............9
..3..4....6.....9......12........15..........18...........21............24
..4..6...14....33......65.......114.........189..........298...........450
..5..8...29...100.....291.......771........1887.........4278..........9072
..6.10...56...283....1229......4837.......17259........57116........176642
..7.12..101...732....4795.....27921......147012.......723580.......3337980
..8.14..171..1745...17186....147717.....1163030......8679368......61361285
..9.16..274..3881...57060....725287.....8624956.....98763027....1085502065
.10.18..419..8149..177629...3342140....60333410...1063904653...18231769222
.11.20..616.16288..522893..14569918...399317172..10816200665..287942095263
.12.22..876.31169.1463248..60328126..2503952448.103753630773.4270833925408
.13.24.1211.57354.3907906.237879223.14900183092.940929072946
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..0....0..0..0..0....0..0..0..0....1..1..1..1....0..0..1..1
..0..0..0..0....0..0..0..0....0..0..0..1....1..1..1..1....1..1..1..1
..1..0..0..0....1..0..0..1....0..0..1..1....1..1..1..1....1..1..1..1
CROSSREFS
Sequence in context: A127079 A080251 A220032 * A187446 A240020 A336430
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 27 2012
STATUS
approved