A233480 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no increasing sequence of length 3 horizontally or vertically

178464, 8840905, 8840905, 432047816, 1542165988, 432047816, 21111771232, 264110152411, 264110152411, 21111771232, 1030570080608, 45223720670867, 157745111994988, 45223720670867, 1030570080608, 50306732887149

Offset

1,1

Comments

Table starts

........178464..........8840905............432047816..............21111771232

.......8840905.......1542165988.........264110152411...........45223720670867

.....432047816.....264110152411......157745111994988........94192817031882237

...21111771232...45223720670867....94192817031882237....196122261590679299496

.1030570080608.7732943732414030.56144572756093218532.407469009947158776878785

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 54]

Example

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

Crossrefs

Sequence in context: A321815 A081867 A133972 * A233475 A243901 A254801

Adjacent sequences: A233477 A233478 A233479 * A233481 A233482 A233483

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 11 2013

Status

approved