A250519 - OEIS

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A250519

T(n,k)=Number of (n+1)X(k+1) 0..3 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

120, 889, 889, 5996, 14660, 5996, 39187, 205022, 205022, 39187, 248942, 2817780, 5941982, 2817780, 248942, 1555689, 36999777, 166583429, 166583429, 36999777, 1555689, 9605300, 480626844, 4464289109, 9680713976, 4464289109, 480626844

(list; table; graph; refs; listen; history; text; internal format)

OFFSET

1,1

COMMENTS

Table starts

......120.........889...........5996.............39187...............248942

......889.......14660.........205022...........2817780.............36999777

.....5996......205022........5941982.........166583429...........4464289109

....39187.....2817780......166583429........9680713976.........529549691761

...248942....36999777.....4464289109......529549691761.......59401819473382

..1555689...480626844...117638074883....28601087487209.....6541261035659334

..9605300..6146257386..3049397341176..1507593926459193...703840057362860071

.58826247.78207667892.78567969110807.79158901718859170.75185443088320314794

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..197

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 7]

k=2: [order 19]

k=3: [order 50]

EXAMPLE

Some solutions for n=2 k=4

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

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

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

CROSSREFS

Sequence in context: A300664 A029573 A211471 * A250512 A011245 A213875

Adjacent sequences: A250516 A250517 A250518 * A250520 A250521 A250522

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Nov 24 2014

STATUS

approved