A219915 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 nonincreasing columns, 0..2 nXk array

3, 3, 3, 6, 3, 6, 10, 6, 7, 10, 15, 10, 24, 12, 15, 21, 15, 64, 62, 21, 21, 28, 21, 147, 234, 155, 35, 28, 36, 28, 308, 758, 819, 356, 57, 36, 45, 36, 606, 2215, 3800, 2563, 789, 91, 45, 55, 45, 1144, 6089, 16159, 17007, 7877, 1716, 142, 55, 66, 55, 2097, 16131, 65802

Offset

1,1

Comments

Table starts

..3...3.....6.....10......15.......21.......28.......36.......45........55

..3...3.....6.....10......15.......21.......28.......36.......45........55

..6...7....24.....64.....147......308......606.....1144.....2097......3761

.10..12....62....234.....758.....2215.....6089....16131....41601....104732

.15..21...155....819....3800....16159....65802...262840..1033491...3983613

.21..35...356...2563...17007...105936...645589..3916436.23461117.137270726

.28..57...789...7877...76385...715430..6705546.63193592

.36..91..1716..24318..349806..4968426.71452528

.45.142..3676..74901.1607125.34708110

.55.216..7708.225552.7199979

.66.320.15724.655360

.78.462.31125

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

Some solutions for n=3 k=4
..0..0..0..0....2..1..1..1....0..0..0..0....2..0..0..0....2..0..0..0
..0..0..0..0....2..1..1..1....0..0..0..0....2..0..0..0....2..0..0..0
..2..2..2..2....2..1..1..1....0..0..0..1....2..2..2..2....2..2..1..1

Crossrefs

Column 1, Rows 1 and 2 are A000217 for n>1

Column 2 is A219211

Sequence in context: A261926 A158315 A134059 * A219217 A219686 A367761

Adjacent sequences: A219912 A219913 A219914 * A219916 A219917 A219918

Keyword

nonn,tabl

Author

R. H. Hardin Dec 01 2012

Status

approved