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A219217 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..2 nXk array 8
3, 3, 3, 6, 3, 6, 10, 7, 7, 10, 15, 12, 37, 12, 15, 21, 21, 113, 113, 21, 21, 28, 35, 345, 493, 345, 35, 28, 36, 57, 955, 2391, 2391, 955, 57, 36, 45, 91, 2508, 10287, 19307, 10287, 2508, 91, 45, 55, 142, 6303, 42301, 131724, 131724, 42301, 6303, 142, 55, 66, 216 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

..3...3......6.......10........15..........21..........28..........36

..3...3......7.......12........21..........35..........57..........91

..6...7.....37......113.......345.........955........2508........6303

.10..12....113......493......2391.......10287.......42301......165593

.15..21....345.....2391.....19307......131724......854611.....5244065

.21..35....955....10287....131724.....1401275....14175675...136413948

.28..57...2508....42301....854611....14175675...225464479..3456415362

.36..91...6303...165593...5244065...136413948..3456415362.85975478510

.45.142..15251...623267..31109196..1283062154.52566495532

.55.216..35567..2251824.177926081.11695541948

.66.320..80116..7816033.979705264

.78.462.174791.26126804

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..127

EXAMPLE

Some solutions for n=3 k=4

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

..0..0..0..0....0..0..0..1....1..1..1..1....0..0..1..1....0..0..1..1

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

CROSSREFS

Column 1 is (n^2+n)/2 for n>1

Sequence in context: A158315 A134059 A219915 * A219686 A112669 A098529

Adjacent sequences:  A219214 A219215 A219216 * A219218 A219219 A219220

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 14 2012

STATUS

approved

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Last modified July 24 11:17 EDT 2021. Contains 346273 sequences. (Running on oeis4.)