|
| |
|
|
A183322
|
|
T(n,k)=Number of nXk binary arrays with an element zero only if there are an even number of ones to its left and an even number of ones above it
|
|
10
|
|
|
|
2, 3, 3, 5, 6, 5, 8, 13, 13, 8, 13, 27, 43, 27, 13, 21, 57, 124, 124, 57, 21, 34, 119, 377, 480, 377, 119, 34, 55, 250, 1109, 1975, 1975, 1109, 250, 55, 89, 523, 3305, 7833, 11385, 7833, 3305, 523, 89, 144, 1097, 9767, 31428, 61755, 61755, 31428, 9767, 1097, 144
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,1
|
|
|
COMMENTS
|
Empirical: column k has a 2^k order linear recurrence (verified through k=6)
Table starts
...2....3.....5.......8.......13.........21..........34...........55
...3....6....13......27.......57........119.........250..........523
...5...13....43.....124......377.......1109........3305.........9767
...8...27...124.....480.....1975.......7833.......31428.......125103
..13...57...377....1975....11385......61755......343035......1872913
..21..119..1109....7833....61755.....455509.....3437801.....25528515
..34..250..3305...31428...343035....3437801....35629548....360327392
..55..523..9767..125103..1872913...25528515...360327392...4963103592
..89.1097.28959..498825.10288475..190243099..3674032121..68795107993
.144.2297.85677.1985956.56225061.1412491505.37171418048.947461430557
|
|
|
LINKS
|
|
|
|
EXAMPLE
|
Some solutions for 7X3
..1..1..1....0..0..0....1..1..0....1..1..0....0..0..0....0..0..1....0..0..0
..1..1..1....0..0..0....1..1..1....1..1..0....1..1..1....1..1..1....0..1..1
..0..0..1....0..0..1....1..1..1....0..0..0....1..1..1....1..1..1....0..1..1
..1..1..1....0..1..1....1..1..0....1..1..0....1..1..0....0..0..1....1..1..1
..1..1..1....1..1..0....0..0..0....1..1..0....1..1..0....0..1..1....1..1..1
..0..0..1....1..1..0....0..0..1....0..1..1....1..1..0....1..1..1....0..1..1
..1..1..0....1..1..1....1..1..1....1..1..1....1..1..1....1..1..0....0..1..1
|
|
|
CROSSREFS
|
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
