A185933 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace.

256, 3392, 3392, 45184, 130944, 45184, 601280, 5113920, 5113920, 601280, 8003200, 199644672, 590014464, 199644672, 8003200, 106519232, 7794298816, 67954333216, 67954333216, 7794298816, 106519232, 1417744768, 304295071104, 7826768593728

Offset

1,1

Comments

Table starts

.........256............3392................45184...................601280

........3392..........130944..............5113920................199644672

.......45184.........5113920............590014464..............67954333216

......601280.......199644672..........67954333216...........23071825269024

.....8003200......7794298816........7826768593728.........7834998846007456

...106519232....304295071104......901434253841216......2660771010874885728

..1417744768..11879903064384...103822107190857792....903599949050079304640

.18869769920.463800149161728.11957609765394118112.306863268993289004333312

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Example

Some solutions for 4X3
..0..2..0....0..0..0....2..0..0....0..0..0....0..2..0....0..0..0....0..0..0
..0..0..2....2..2..3....0..2..0....0..2..1....0..0..1....0..0..2....2..2..0
..1..2..3....3..2..3....2..1..3....2..0..0....0..3..0....2..3..0....3..3..1
..3..2..0....0..2..2....0..0..3....2..2..1....2..0..2....3..0..0....0..0..3

Crossrefs

Sequence in context: A344304 A070056 A185575 * A185572 A185925 A205281

Adjacent sequences: A185930 A185931 A185932 * A185934 A185935 A185936

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 06 2011

Status

approved