|
Search: id:A054645
|
|
|
| A054645 |
|
Triangle T(n,k) of asymmetric n X n binary matrices with k=0..n^2 ones under action of dihedral group of the square D_4. |
|
+0
1
|
|
| 0, 0, 2, 6, 10, 10, 6, 2, 0, 0, 0, 1, 10, 63, 207, 525, 954, 1395, 1550, 1395, 954, 525, 207, 63, 10, 1, 0, 0, 1, 28, 258, 1503, 6475, 21810, 59540, 134333, 254178, 407040, 555356, 648054, 648054, 555356, 407040, 254178, 134333, 59540, 21810, 6475
(list; graph; listen)
|
|
|
OFFSET
|
3,3
|
|
|
COMMENT
|
Row sums give A054385.
|
|
EXAMPLE
|
The batch [0,0,2,6,10,10,6,2,0,0] gives the numbers of asymmetric 3 X 3 binary matrices with k=0..9 ones under action of dihedral group of the square D_4.
There are 6 nonequivalent asymmetric 3 X 3 binary matrices with 3 ones under action of D_4:
[0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 0] [0 0 1]
[0 0 1] [0 0 1] [0 1 0] [0 1 1] [1 0 1] [0 0 0]
[1 0 1] [1 1 0] [0 1 1] [1 0 0] [0 0 1] [1 1 0].
|
|
CROSSREFS
|
Cf. A054252.
Sequence in context: A141257 A122882 A136700 this_sequence A050425 A030405 A125241
Adjacent sequences: A054642 A054643 A054644 this_sequence A054646 A054647 A054648
|
|
KEYWORD
|
nonn,tabf,nice
|
|
AUTHOR
|
Vladeta Jovovic (vladeta(AT)eunet.rs), May 15 2000
|
|
|
Search completed in 0.002 seconds
|
