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A250468 T(n,k)=Number of (n+1)X(k+1) 0..1 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
11, 31, 31, 85, 134, 85, 233, 557, 557, 233, 637, 2322, 3476, 2322, 637, 1741, 9651, 21753, 21753, 9651, 1741, 4757, 40124, 135753, 204721, 135753, 40124, 4757, 12997, 166765, 847278, 1920345, 1920345, 847278, 166765, 12997, 35509, 693150, 5286723 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

....11.......31.........85..........233............637.............1741

....31......134........557.........2322...........9651............40124

....85......557.......3476........21753.........135753...........847278

...233.....2322......21753.......204721........1920345.........18018051

...637.....9651.....135753......1920345.......27076065........381830463

..1741....40124.....847278.....18018051......381830463.......8093522514

..4757...166765....5286723....169000988.....5383012776.....171499189113

.12997...693150...32988493...1585251989....75892576784....3634222052535

.35509..2880943..205837420..14869200736..1069934356217...77009066849457

.97013.11974176.1284368485.139470660434.15084094478445.1631841304005759

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..840

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) -2*a(n-3)

k=2: a(n) = 4*a(n-1) +3*a(n-2) -10*a(n-3) +4*a(n-5)

k=3: [order 9]

k=4: [order 15]

k=5: [order 25]

k=6: [order 41]

k=7: [order 67]

EXAMPLE

Some solutions for n=3 k=4

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

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

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

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

CROSSREFS

Sequence in context: A196374 A112260 A196114 * A259515 A183845 A022423

Adjacent sequences:  A250465 A250466 A250467 * A250469 A250470 A250471

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 23 2014

STATUS

approved

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Last modified October 25 17:22 EDT 2021. Contains 348255 sequences. (Running on oeis4.)