A219460 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..3 nXk array

4, 4, 4, 10, 4, 10, 20, 13, 13, 20, 35, 26, 114, 26, 35, 56, 57, 498, 498, 57, 56, 84, 116, 2266, 3422, 2266, 116, 84, 120, 231, 9146, 27967, 27967, 9146, 231, 120, 165, 450, 34529, 197308, 435960, 197308, 34529, 450, 165, 220, 859, 123778, 1324860, 5544714

Offset

1,1

Comments

Table starts

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

...4....4......13.......26........57........116........231.........450

..10...13.....114......498......2266.......9146......34529......123778

..20...26.....498.....3422.....27967.....197308....1324860.....8405212

..35...57....2266....27967....435960....5544714...66665715...751202772

..56..116....9146...197308...5544714..124508284.2651269670.53196852108

..84..231...34529..1324860..66665715.2651269670

.120..450..123778..8405212.751202772

.165..859..426832.51417327

.220.1604.1420589

.286.2928

.364

Links

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

Example

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

Crossrefs

Column 1 is A000292 for n>1

Sequence in context: A117405 A013601 A219802 * A347433 A220010 A190717

Adjacent sequences: A219457 A219458 A219459 * A219461 A219462 A219463

Keyword

nonn,tabl

Author

R. H. Hardin Nov 20 2012

Status

approved