login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
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
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; refs; listen; history; text; internal format)
OFFSET

3,3

COMMENTS

Row sums give A054385.

LINKS

Table of n, a(n) for n=3..50.

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 * A337645 A225271 A050425

Adjacent sequences:  A054642 A054643 A054644 * A054646 A054647 A054648

KEYWORD

nonn,tabf,nice

AUTHOR

Vladeta Jovovic, May 15 2000

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified June 18 23:16 EDT 2021. Contains 345125 sequences. (Running on oeis4.)