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A219354 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..1 nXk array 7
2, 2, 2, 3, 2, 3, 4, 3, 3, 4, 5, 4, 8, 4, 5, 6, 5, 15, 15, 5, 6, 7, 6, 27, 35, 27, 6, 7, 8, 7, 46, 81, 81, 46, 7, 8, 9, 8, 76, 174, 247, 174, 76, 8, 9, 10, 9, 122, 364, 689, 689, 364, 122, 9, 10, 11, 10, 190, 740, 1880, 2482, 1880, 740, 190, 10, 11, 12, 11, 287, 1459, 4994, 8744 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..2..2...3....4......5.......6........7..........8...........9..........10

..2..2...3....4......5.......6........7..........8...........9..........10

..3..3...8...15.....27......46.......76........122.........190.........287

..4..4..15...35.....81.....174......364........740........1459........2778

..5..5..27...81....247.....689.....1880.......4994.......12917.......32349

..6..6..46..174....689....2482.....8744......30122......101738......333863

..7..7..76..364...1880....8744....39967.....180591......808247.....3528186

..8..8.122..740...4994...30122...180591....1086910.....6563582....38760349

..9..9.190.1459..12917..101738...808247....6563582....54162362...437433513

.10.10.287.2778..32349..333863..3528186...38760349...437433513..4835495936

.11.11.421.5105..78303.1060075.14892204..220439811..3384841935.51024249576

.12.12.601.9069.183394.3255831.60674978.1203499419.25003511250

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..220

EXAMPLE

Some solutions for n=3 k=4

..0..0..1..1....1..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0

..0..0..1..1....1..1..1..1....0..0..0..0....0..0..0..0....0..0..0..0

..0..0..1..1....1..1..1..1....0..0..0..1....1..1..0..0....0..0..0..0

CROSSREFS

Sequence in context: A128435 A220415 A286565 * A026903 A253893 A289437

Adjacent sequences:  A219351 A219352 A219353 * A219355 A219356 A219357

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 18 2012

STATUS

approved

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Last modified October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)