A185891 T(n,k)=1/729 the number of (n+2)X(k+2) 0..2 arrays with no 3X3 subblock trace equal to any horizontal or vertical neighbor 3X3 subblock trace.

27, 588, 588, 12900, 28086, 12900, 282672, 1367896, 1367896, 282672, 6195480, 66642628, 151319356, 66642628, 6195480, 135783240, 3246601822, 16772497838, 16772497838, 3246601822, 135783240, 2975926392, 158165462152, 1859643383374

Offset

1,1

Comments

Table starts

..........27.............588...............12900..................282672

.........588...........28086.............1367896................66642628

.......12900.........1367896...........151319356.............16772497838

......282672........66642628.........16772497838...........4223442979220

.....6195480......3246601822.......1859643383374........1060306245936410

...135783240....158165462152.....206151739863904......266120814001133510

..2975926392...7705358302364...22854468047098854....66791286531734378864

.65222436072.375382835991994.2533647121080969994.16763506421271197917026

Links

R. H. Hardin, Table of n, a(n) for n = 1..84

Example

Some solutions for 5X4
..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..0..0....0..0..0..0....0..0..0..0....0..0..0..0
..2..0..1..2....0..2..0..1....2..2..2..0....2..1..0..2....2..0..2..0
..2..1..2..0....0..0..2..0....0..2..1..2....1..0..2..1....1..0..1..2
..2..1..1..0....0..2..2..1....0..2..2..0....0..0..0..0....1..1..1..0

Crossrefs

Sequence in context: A076008 A394853 A232944 * A185883 A212670 A099753

Adjacent sequences: A185888 A185889 A185890 * A185892 A185893 A185894

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 05 2011

Status

approved