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A250536 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction 9
110, 700, 700, 3958, 6012, 3958, 21326, 44017, 44017, 21326, 110546, 289035, 393910, 289035, 110546, 559824, 1767743, 3091263, 3091263, 1767743, 559824, 2787971, 10248336, 21783369, 28135982, 21783369, 10248336, 2787971, 13727380, 57297797 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......110........700.........3958.........21326.........110546..........559824

.......700.......6012........44017........289035........1767743........10248336

......3958......44017.......393910.......3091263.......21783369.......142934266

.....21326.....289035......3091263......28135982......226449945......1660642705

....110546....1767743.....21783369.....226449945.....2039109478.....16593620611

....559824...10248336....142934266....1660642705....16593620611....147966207622

...2787971...57297797....885728348...11375090117...124278132580...1206582455860

..13727380..311492811...5269466799...73739279943...875253351485...9161797846382

..67045240.1660155153..30337133947..459022341499..5860027163649..65815657637488

.325579124.8712978900.170444570767.2761125746280.37730281398462.451382788443396

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..238

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 29]

k=3: [order 65] for n>66

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A251021 A251030 A156852 * A250529 A251037 A251038

Adjacent sequences:  A250533 A250534 A250535 * A250537 A250538 A250539

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 24 2014

STATUS

approved

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Last modified May 19 08:55 EDT 2022. Contains 353826 sequences. (Running on oeis4.)