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A219519
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..1 nXk array
12
2, 2, 3, 3, 3, 4, 4, 4, 6, 5, 5, 5, 11, 9, 6, 6, 6, 24, 22, 12, 7, 7, 7, 43, 68, 42, 15, 8, 8, 8, 70, 166, 187, 74, 18, 9, 9, 9, 111, 380, 620, 465, 124, 21, 10, 10, 10, 172, 821, 1961, 2125, 1090, 199, 24, 11, 11, 11, 260, 1700, 5799, 9292, 6994, 2430, 307, 27, 12, 12, 12, 383
OFFSET
1,1
COMMENTS
Table starts
..2..2...3.....4.......5........6..........7..........8...........9..........10
..3..3...4.....5.......6........7..........8..........9..........10..........11
..4..6..11....24......43.......70........111........172.........260.........383
..5..9..22....68.....166......380........821.......1700........3374........6430
..6.12..42...187.....620.....1961.......5799......16464.......45093......118742
..7.15..74...465....2125.....9292......37442.....146163......554185.....2025086
..8.18.124..1090....6994....42906.....241413....1327694.....7148589....37181863
..9.21.199..2430...22202...193830....1557761...12385870....96913667...731689430
.10.24.307..5181...67464...844076....9826087..114366199..1316975534.14632143173
.11.27.457.10575..195743..3502384...59070992.1003805024.16988936600
.12.30.659.20714..543950.13875479..337978798.8336555749
.13.33.924.39046.1452673.52704643.1850253044
LINKS
EXAMPLE
Some solutions for n=3 k=4
..0..0..0..1....0..0..0..1....0..0..0..0....0..0..1..1....0..0..1..1
..0..0..0..1....0..0..0..1....0..0..0..0....0..0..1..1....0..0..0..1
..1..1..1..1....1..0..1..1....1..1..0..0....0..0..1..1....0..0..0..1
CROSSREFS
Sequence in context: A107347 A320063 A189717 * A330393 A273263 A274533
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 21 2012
STATUS
approved