A233801 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally, vertically or antidiagonally downwards

169840, 7949773, 7959956, 371832256, 1231134446, 365649436, 17394286865, 192011782168, 184701585960, 16782644101, 812933550972, 29957246808751, 94758748460662, 27653665556487, 768927679996, 37996849382405

Offset

1,1

Comments

Table starts

.......169840..........7949773............371832256..............17394286865

......7959956.......1231134446.........192011782168...........29957246808751

....365649436.....184701585960.......94758748460662........48635344266106500

..16782644101...27653665556487....46594846574940781.....78542994416390783342

.768927679996.4128363478149117.22806671303330767604.126052094387188030034149

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: [linear recurrence of order 54]

Empirical for row n:

n=1: [linear recurrence of order 60]

Example

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

Crossrefs

Sequence in context: A210152 A089203 A236054 * A233802 A233796 A288356

Adjacent sequences: A233798 A233799 A233800 * A233802 A233803 A233804

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2013

Status

approved