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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
6
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
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
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Dec 24 2014
STATUS
approved