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A219578
T(n,k) is the number of n X k arrays of the minimum value of corresponding elements and their horizontal or vertical neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 n X k array.
14
4, 4, 4, 10, 13, 10, 20, 51, 59, 20, 35, 132, 415, 181, 35, 56, 277, 1866, 2234, 469, 56, 84, 514, 7036, 18564, 10226, 1107, 84, 120, 881, 24679, 140884, 154271, 43194, 2447, 120, 165, 1429, 82431, 1052190, 2399643, 1230906, 175054, 5120, 165, 220, 2225, 262218
OFFSET
1,1
COMMENTS
Table starts:
...4.....4......10.......20........35.........56........84........120.......165
...4....13......51......132.......277........514.......881.......1429......2225
..10....59.....415.....1866......7036......24679.....82431.....262218....794994
..20...181....2234....18564....140884....1052190...7579137...51585784.331270888
..35...469...10226...154271...2399643...37870076.572032559.8149176569
..56..1107...43194..1230906..40957383.1391739384
..84..2447..175054..9838834.712907937
.120..5120..681294.77121132
.165.10197.2520724
.220.19415
.286
LINKS
EXAMPLE
Some solutions for n=3 and k=4:
..2..1..1..0....1..0..0..0....1..0..0..0....0..0..0..0....2..2..0..0
..3..1..0..0....2..1..0..0....0..0..0..0....2..0..0..0....2..1..1..0
..3..3..1..0....3..3..2..0....3..0..3..1....2..2..2..1....3..3..1..2
CROSSREFS
Column 1 and Row 1 are A000292 for n>1.
Sequence in context: A220204 A035618 A220931 * A219373 A337132 A151906
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Nov 23 2012
STATUS
approved