A233488 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or vertically

172952, 8254896, 8254896, 386906152, 1328621536, 386906152, 18116531520, 208066125583, 208066125583, 18116531520, 846914338316, 32519299606118, 107592918949238, 32519299606118, 846914338316, 39587056212137

Offset

1,1

Comments

Table starts

.......172952..........8254896............386906152..............18116531520

......8254896.......1328621536.........208066125583...........32519299606118

....386906152.....208066125583......107592918949238........55442546308058920

..18116531520...32519299606118....55442546308058920.....94038386779753884364

.846914338316.5070020645309648.28457838067515915868.158651203925316697808911

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 60]

Example

Some solutions for n=1 k=4
..1..1..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..2..1..0..0..0..0....2..3..0..0..0..0....2..0..0..0..0..0....2..0..0..0..0..0
..2..1..3..3..1..1....2..3..2..3..2..3....0..3..2..2..0..0....2..3..1..3..2..2

Crossrefs

Sequence in context: A242980 A221742 A239789 * A233483 A251117 A076814

Adjacent sequences: A233485 A233486 A233487 * A233489 A233490 A233491

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 11 2013

Status

approved