|
| |
|
|
A253035
|
|
T(n,k) = Number of (n+2) X (k+2) 0..2 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.
|
|
7
|
|
|
|
297, 1647, 1647, 9126, 12987, 9126, 50571, 102060, 102060, 50571, 280233, 802899, 1134864, 802899, 280233, 1552878, 6320511, 12647772, 12647772, 6320511, 1552878, 8605089, 49756086, 141199416, 199953846, 141199416, 49756086, 8605089
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Table starts
.....297......1647........9126........50571.........280233..........1552878
....1647.....12987......102060.......802899........6320511.........49756086
....9126....102060.....1134864.....12647772......141199416.......1576282464
...50571....802899....12647772....199953846.....3170197872......50259172356
..280233...6320511...141199416...3170197872....71502727077....1612681662123
.1552878..49756086..1576282464..50259172356..1612681662123...51750105608403
.8605089.391717269.17600380920.797070583521.36393871038174.1662024911503707
|
|
|
LINKS
|
|
|
|
FORMULA
|
Empirical for column k:
k=1: a(n) = 5*a(n-1) +3*a(n-2),
k=2: a(n) = 9*a(n-1) -5*a(n-2) -10*a(n-3) -174*a(n-4) +80*a(n-5) +160*a(n-6),
k=3: [order 20],
k=4: [order 72].
|
|
|
EXAMPLE
|
Some solutions for n=2, k=4
..0..0..1..0..0..2....0..1..1..0..0..1....0..0..1..1..0..0....0..0..1..1..0..1
..0..0..2..2..0..2....1..2..2..0..0..1....0..0..2..0..0..2....1..1..2..2..0..2
..2..1..1..2..2..1....0..2..2..1..2..2....1..2..2..1..1..0....1..1..2..1..2..2
..2..0..2..0..2..2....1..0..1..0..0..1....0..0..1..1..0..0....0..2..0..2..0..0
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
