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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 8
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 23 00:39 EDT 2021. Contains 348211 sequences. (Running on oeis4.)