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A250454 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with nondecreasing min(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
44, 217, 217, 1000, 2029, 1000, 4535, 17024, 17024, 4535, 20242, 141857, 258377, 141857, 20242, 89677, 1155519, 3865967, 3865967, 1155519, 89677, 395240, 9376751, 56575618, 104578590, 56575618, 9376751, 395240, 1736779, 75647740, 822755006 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.......44.........217...........1000..............4535................20242

......217........2029..........17024............141857..............1155519

.....1000.......17024.........258377...........3865967.............56575618

.....4535......141857........3865967.........104578590...........2750712613

....20242.....1155519.......56575618........2750712613.........130213746897

....89677.....9376751......822755006.......71984404630........6120328131599

...395240....75647740....11894220206.....1868402502223......285429015596551

..1736779...609534839...171683275444....48446319776685....13286357317725708

..7617286..4903892459..2474382329697..1253388924506698...617196231962925214

.33369545.39438538201.35650926095264.32426207385598948.28662266869756914003

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..332

FORMULA

Empirical for column k:

k=1: a(n) = 6*a(n-1) -3*a(n-2) -20*a(n-3) +6*a(n-4) +12*a(n-5)

k=2: [order 11]

k=3: [order 25]

k=4: [order 50]

k=5: [order 99]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A186248 A215677 A122235 * A250447 A233949 A233942

Adjacent sequences:  A250451 A250452 A250453 * A250455 A250456 A250457

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 23 2014

STATUS

approved

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Last modified August 7 22:44 EDT 2020. Contains 336279 sequences. (Running on oeis4.)