A209019 T(n,k)=Number of nXk 0..3 arrays with no element equal the average of immediate neighbors vertically above, diagonally above and left, and horizontally left of it

4, 12, 12, 36, 130, 36, 108, 1430, 1430, 108, 324, 15724, 57412, 15724, 324, 972, 172936, 2303052, 2303052, 172936, 972, 2916, 1901964, 92409982, 337083370, 92409982, 1901964, 2916, 8748, 20918008, 3707858104, 49349902246, 49349902246

Offset

1,1

Comments

Table starts

....4........12............36................108....................324

...12.......130..........1430..............15724.................172936

...36......1430.........57412............2303052...............92409982

..108.....15724.......2303052..........337083370............49349902246

..324....172936......92409982........49349902246.........26361689168962

..972...1901964....3707858104......7224768704460......14081479775124768

.2916..20918008..148774643618...1057701934285612....7521858792951566188

.8748.230058424.5969451726624.154846841369187254.4017924265572698697072

Links

R. H. Hardin, Table of n, a(n) for n = 1..180

Example

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

Crossrefs

Column 1 is A003946

Sequence in context: A161411 A261695 A209047 * A202636 A239194 A355801

Adjacent sequences: A209016 A209017 A209018 * A209020 A209021 A209022

Keyword

nonn,tabl

Author

R. H. Hardin Mar 04 2012

Status

approved