A233705 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally, vertically, diagonally downwards or antidiagonally downwards

164860, 7442986, 7461298, 336085716, 1062275284, 328460622, 15181195220, 153005653333, 144297443044, 14427107117, 684540459662, 22080932709668, 64757179869158, 19467107789537, 631613667020, 30867953018180

Offset

1,1

Comments

Table starts

.......164860..........7442986............336085716.............15181195220

......7461298.......1062275284.........153005653333..........22080932709668

....328460622.....144297443044.......64757179869158.......29152990437729687

..14427107117...19467107789537....27085905767473141....37843512136217016443

.631613667020.2609997970924906.11212752865793034944.48410484594138550226073

Links

R. H. Hardin, Table of n, a(n) for n = 1..40

Formula

Empirical for column k:

k=1: [linear recurrence of order 70]

Empirical for row n:

n=1: [linear recurrence of order 88] for n>90

Example

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

Crossrefs

Sequence in context: A034603 A234680 A226004 * A233706 A233701 A224582

Adjacent sequences: A233702 A233703 A233704 * A233706 A233707 A233708

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 15 2013

Status

approved