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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
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 19 2013
STATUS
approved