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

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

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