A234196 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally, diagonally downwards or antidiagonally downwards

193264, 8978872, 10370036, 419125848, 1577067369, 552870656, 19573980484, 244346936321, 272785548513, 29472668500, 912384722164, 37949401327593, 138268664434880, 47114152181148, 1570546543232, 42532059223388

Offset

1,1

Comments

Table starts

........193264..........8978872............419125848..............19573980484

......10370036.......1577067369.........244346936321...........37949401327593

.....552870656.....272785548513......138268664434880........70353014214072836

...29472668500...47114152181148....77982317263392032....129683995610190417732

.1570546543232.8128987583933281.43876333157141621192.238102482801724403487709

Links

R. H. Hardin, Table of n, a(n) for n = 1..48

Formula

Empirical for column k:

k=1: [linear recurrence of order 23]

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

Crossrefs

Sequence in context: A187674 A252950 A250689 * A234197 A234191 A183753

Adjacent sequences: A234193 A234194 A234195 * A234197 A234198 A234199

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 21 2013

Status

approved