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A219686
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array
13
3, 3, 3, 6, 4, 6, 10, 8, 9, 10, 15, 14, 31, 19, 15, 21, 22, 87, 99, 35, 21, 28, 32, 208, 427, 269, 60, 28, 36, 44, 452, 1531, 1688, 655, 98, 36, 45, 58, 922, 5031, 8964, 5726, 1506, 154, 45, 55, 74, 1799, 15763, 44736, 44816, 18486, 3356, 234, 55, 66, 92, 3394, 47784
OFFSET
1,1
COMMENTS
Table starts
..3...3.....6......10........15.........21.........28..........36.........45
..3...4.....8......14........22.........32.........44..........58.........74
..6...9....31......87.......208........452........922........1799.......3394
.10..19....99.....427......1531.......5031......15763.......47784.....140586
.15..35...269....1688......8964......44736.....219216.....1062133....5046678
.21..60...655....5726.....44816.....344926....2709320....21474269..167685059
.28..98..1506...18486....220182....2706117...35011623...461414270.5979059010
.36.154..3356...59458...1116208...22404783..479633094.10451333258
.45.234..7278..189516...5697556..187497531.6609458081
.55.345.15335..589078..28354294.1518906665
.66.495.31362.1771979.135630422
.78.693.62286.5155016
LINKS
EXAMPLE
Some solutions for n=3 k=4
..1..1..1..1....0..0..0..0....1..1..0..0....1..1..0..0....1..1..1..0
..1..1..1..1....0..0..0..0....1..1..0..0....1..0..0..0....1..1..0..0
..2..1..1..1....1..1..0..0....2..2..0..0....2..0..0..0....2..2..0..0
CROSSREFS
Column 1 and row 1 are A000217 for n>1
Row 2 is A003682 for n>1
Sequence in context: A134059 A219915 A219217 * A367761 A112669 A098529
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 25 2012
STATUS
approved