login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A219714 T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array 14
4, 4, 10, 10, 13, 20, 20, 45, 44, 35, 35, 125, 297, 129, 56, 56, 283, 1751, 1860, 338, 84, 84, 561, 7862, 23506, 9674, 813, 120, 120, 1030, 30452, 223069, 245205, 46026, 1822, 165, 165, 1776, 106421, 1797459, 4745284, 2326019, 207161, 3840, 220, 220, 2916 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

...4.....4.......10..........20...........35............56............84

..10....13.......45.........125..........283...........561..........1030

..20....44......297........1751.........7862.........30452........106421

..35...129.....1860.......23506.......223069.......1797459......13042996

..56...338.....9674......245205......4745284......79167008....1202223210

..84...813....46026.....2326019.....90220424....3084196884...97254386205

.120..1822...207161....21036433...1658836014..118470103282.7921920681423

.165..3840...881386...180509639..29601803957.4513018690558

.220..7665..3529403..1458287494.504486635692

.286.14578.13308249.11082376729

.364.26557.47441049

.455.46556

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..96

EXAMPLE

Some solutions for n=3 k=4

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

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

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

CROSSREFS

Column 1 is A000292(n+1)

Row 1 is A000292 for n>1

Sequence in context: A140234 A220044 A219828 * A167132 A168326 A101256

Adjacent sequences:  A219711 A219712 A219713 * A219715 A219716 A219717

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin Nov 26 2012

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 17 09:00 EDT 2021. Contains 347478 sequences. (Running on oeis4.)