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

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

R. H. Hardin, Table of n, a(n) for n = 1..178

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

Adjacent sequences: A219516 A219517 A219518 * A219520 A219521 A219522

Keyword

nonn,tabl

Author

R. H. Hardin Nov 21 2012

Status

approved