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A219627
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..2 nXk array
14
3, 3, 6, 6, 11, 10, 10, 24, 27, 15, 15, 54, 130, 56, 21, 21, 103, 582, 566, 105, 28, 28, 178, 2109, 5072, 2134, 183, 36, 36, 290, 6637, 37215, 37787, 7259, 301, 45, 45, 453, 19166, 231634, 556742, 248473, 22715, 472, 55, 55, 684, 51491, 1278800, 6834071, 7236952
OFFSET
1,1
COMMENTS
Table starts
..3....3.......6........10..........15............21............28
..6...11......24........54.........103...........178...........290
.10...27.....130.......582........2109..........6637.........19166
.15...56.....566......5072.......37215........231634.......1278800
.21..105....2134.....37787......556742.......6834071......72702948
.28..183....7259....248473.....7236952.....172829660....3504611581
.36..301...22715...1468544....83758183....3863292782..149566037863
.45..472...66250...7970617...883579212...78707033574.5869938821256
.55..711..181791..40301719..8637866670.1486531293773
.66.1035..472662.191514623.79017000203
.78.1463.1171147.860805160
.91.2016.2778770
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..1..0....0..0..0..1....0..0..1..1....1..1..1..2....0..0..1..1
..0..0..0..0....0..0..2..1....1..1..2..2....1..1..2..2....0..0..0..0
..1..0..1..2....1..1..0..0....2..2..2..2....2..2..2..2....0..0..0..2
CROSSREFS
Column 1 is A000217(n+1)
Row 1 is A000217 for n>1
Sequence in context: A088528 A363241 A220153 * A340571 A131942 A240204
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 24 2012
STATUS
approved