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A219939 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array 14
4, 4, 10, 10, 23, 20, 20, 64, 76, 35, 35, 196, 368, 208, 56, 56, 459, 2070, 2030, 519, 84, 84, 918, 8523, 21512, 10791, 1212, 120, 120, 1660, 30558, 173951, 224794, 53712, 2670, 165, 165, 2802, 100761, 1301292, 3773045, 2225355, 248881, 5574, 220, 220 (list; table; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Table starts
...4.....4......10........20.........35.........56........84.........120
..10....23......64.......196........459........918......1660........2802
..20....76.....368......2070.......8523......30558....100761......313108
..35...208....2030.....21512.....173951....1301292...9073439....59354249
..56...519...10791....224794....3773045...59049705.871084602.12058384658
..84..1212...53712...2225355...78522914.2574187888
.120..2670..248881..20434119.1523159314
.165..5574.1078041.175334420
.220.11076.4392080
.286.21043
.364
LINKS
EXAMPLE
Some solutions for n=3 k=4
..2..2..0..1....1..1..1..1....2..2..0..1....2..0..0..0....2..1..1..2
..2..2..0..0....2..2..0..1....3..2..0..0....1..1..0..0....3..1..1..1
..3..3..2..2....3..2..0..0....3..3..2..2....1..1..0..0....3..2..1..1
CROSSREFS
Column 1 is A000292(n+1)
Row 1 is A000292 for n>1
Sequence in context: A116569 A058187 A188271 * A219471 A006477 A233739
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin Dec 01 2012
STATUS
approved

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Last modified July 14 22:52 EDT 2024. Contains 374323 sequences. (Running on oeis4.)