A220931 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and columns, 0..3 nXk array

4, 4, 4, 10, 13, 10, 20, 41, 41, 20, 35, 114, 283, 114, 35, 56, 260, 1448, 1448, 260, 56, 84, 545, 6687, 15360, 6687, 545, 84, 120, 1104, 29847, 149336, 149336, 29847, 1104, 120, 165, 2182, 128985, 1346477, 2960327, 1346477, 128985, 2182, 165, 220, 4201, 528548

Offset

1,1

Comments

Table starts

...4.....4......10........20..........35..........56..........84...........120

...4....13......41.......114.........260.........545........1104..........2182

..10....41.....283......1448........6687.......29847......128985........528548

..20...114....1448.....15360......149336.....1346477....11432523......90627413

..35...260....6687....149336.....2960327....52591889...861894138...13241462045

..56...545...29847...1346477....52591889..1794793653.55877166390.1645212608113

..84..1104..128985..11432523...861894138.55877166390

.120..2182..528548..90627413.13241462045

.165..4201.2040761.672437960

.220..7862.7473305

.286.14295

.364

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

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

Crossrefs

Column 1 is A000292 for n>1

Sequence in context: A190717 A220204 A035618 * A219578 A219373 A337132

Adjacent sequences: A220928 A220929 A220930 * A220932 A220933 A220934

Keyword

nonn,tabl

Author

R. H. Hardin Dec 25 2012

Status

approved