

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


12



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
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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 A112669
Adjacent sequences: A219912 A219913 A219914 * A219916 A219917 A219918


KEYWORD

nonn,tabl


AUTHOR

R. H. Hardin Dec 01 2012


STATUS

approved



