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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
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Nov 28 2012
STATUS
approved