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A219802 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..3 nXk array 13
4, 4, 4, 10, 4, 10, 20, 10, 13, 20, 35, 21, 71, 26, 35, 56, 39, 283, 255, 57, 56, 84, 68, 959, 1605, 958, 116, 84, 120, 114, 2949, 8779, 9817, 3227, 231, 120, 165, 186, 8533, 43246, 91972, 52704, 10448, 450, 165, 220, 297, 23726, 202771, 794035, 840315, 279458 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...4....4.....10......20.......35........56........84........120.......165

...4....4.....10......21.......39........68.......114........186.......297

..10...13.....71.....283......959......2949......8533......23726.....63982

..20...26....255....1605.....8779.....43246....202771.....925422...4126107

..35...57....958....9817....91972....794035...6627885...54254802.433569009

..56..116...3227...52704...840315..12642165.186308295.2698382566

..84..231..10448..279458..7667972.204182570

.120..450..33171.1485408.69981764

.165..859.104257.7898483

.220.1604.321192

.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..0..0..0....2..0..0..0....3..0..0..0....3..2..0..0....1..1..1..1

..1..0..0..0....2..0..0..0....3..0..0..0....3..2..0..0....1..1..1..1

..2..2..2..3....3..2..2..2....3..2..2..2....3..3..1..1....3..3..3..3

CROSSREFS

Column 1 and row 1 are A000292 for n>1

Column 2 is A219454

Sequence in context: A256796 A117405 A013601 * A219460 A347433 A220010

Adjacent sequences:  A219799 A219800 A219801 * A219803 A219804 A219805

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 28 2012

STATUS

approved

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Last modified November 28 16:34 EST 2021. Contains 349413 sequences. (Running on oeis4.)