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A234054 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards 13
16488, 367857, 402000, 8226630, 23857470, 9780884, 184027176, 1425517650, 1539009351, 237966121, 4114129859, 85374621482, 244179417600, 99212997474, 5789254059, 91973148874, 5109216554257, 38905863275507, 41752512059499 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

.....16488......367857........8226630.........184027176..........4114129859

....402000....23857470.....1425517650.......85374621482.......5109216554257

...9780884..1539009351...244179417600....38905863275507....6195468706439527

.237966121.99212997474.41752512059499.17672707197951102.7477499627486219639

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..83

FORMULA

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 39]

Empirical for row n:

n=1: [linear recurrence of order 32]

EXAMPLE

Some solutions for n=1 k=4

..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0

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

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

CROSSREFS

Sequence in context: A157796 A186848 A211841 * A234055 A234047 A223401

Adjacent sequences:  A234051 A234052 A234053 * A234055 A234056 A234057

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Dec 19 2013

STATUS

approved

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Last modified September 20 13:19 EDT 2020. Contains 337264 sequences. (Running on oeis4.)