A233602 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no increasing sequence of length 3 horizontally, vertically or antidiagonally downwards

15272, 341849, 342185, 7655432, 20463326, 7610545, 171455430, 1228836823, 1210323458, 169129037, 3839022704, 73856970690, 193816724926, 71466955645, 3756984641, 85958825311, 4437742405449, 31089670720384, 30486088122553

Offset

1,1

Comments

Table starts

.........15272............341849...............7655432................171455430

........342185..........20463326............1228836823..............73856970690

.......7610545........1210323458..........193816724926...........31089670720384

.....169129037.......71466955645........30486088122553........13036676136198570

....3756984641.....4216843315070......4789333815748164......5457144376641532163

...83451469774...248776920079071....752211767721347638...2283486525774040837846

.1853608731449.14676155317362609.118131715113190354345.955374780755516442029392

Links

R. H. Hardin, Table of n, a(n) for n = 1..143

Formula

Empirical for column k:

k=1: [linear recurrence of order 23]

Empirical for row n:

n=1: [linear recurrence of order 23]

n=2: [order 61] for n>62

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

Crossrefs

Sequence in context: A205996 A296087 A252318 * A233603 A233595 A233594

Adjacent sequences: A233599 A233600 A233601 * A233603 A233604 A233605

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 14 2013

Status

approved