A252904 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every consecutive three elements in every row and column having exactly two distinct values, and new values 0 upwards introduced in row major order

384, 2793, 2793, 19320, 30453, 19320, 139968, 306680, 306680, 139968, 997740, 3255537, 4385530, 3255537, 997740, 7214139, 33858062, 66702186, 66702186, 33858062, 7214139, 51847038, 357165303, 990142582, 1470299799, 990142582

Offset

1,1

Comments

Table starts

......384.......2793........19320.........139968.........997740........7214139

.....2793......30453.......306680........3255537.......33858062......357165303

....19320.....306680......4385530.......66702186......990142582....14924920644

...139968....3255537.....66702186.....1470299799....31496378270...686625400736

...997740...33858062....990142582....31496378270...973958225703.30642385604286

..7214139..357165303..14924920644...686625400736.30642385604286

.51847038.3740990254.223188511528.14835814827267

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 18]

Example

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

Crossrefs

Sequence in context: A256735 A256728 A236029 * A252899 A183686 A134241

Adjacent sequences: A252901 A252902 A252903 * A252905 A252906 A252907

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 24 2014

Status

approved