cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A066865 Number of binary arrangements without adjacent 1's on n X n staggered hexagonal torus bent for odd n.

Original entry on oeis.org

1, 5, 22, 217, 4726, 164258, 14840533, 1834600977, 669877863205, 296979228487760, 434542100979981567, 692625866382651263578, 4053364289624915167879497, 23237986479606982160703729647, 543749373021017146939376423644362, 11213018647250714014261414954480048385
Offset: 1

Views

Author

R. H. Hardin, Jan 25 2002

Keywords

Examples

			Neighbors for n=4:
\|/ | \|/ |
-o--o--o--o-
 | /|\ | /|\
\|/ | \|/ |
-o--o--o--o-
 | /|\ | /|\
\|/ | \|/ |
-o--o--o--o-
 | /|\ | /|\
\|/ | \|/ |
-o--o--o--o-
 | /|\ | /|\
Neighbors for n=5:
\|/ | \|/ | \|/
 o--o--o--o--o
/| /|\ | /|\ |\
\|/ | \|/ | \|/
 o--o--o--o--o
/| /|\ | /|\ |\
\|/ | \|/ | \|/
 o--o--o--o--o
/| /|\ | /|\ |\
\|/ | \|/ | \|/
 o--o--o--o--o
/| /|\ | /|\ |\
\|/ | \|/ | \|/
 o--o--o--o--o
/| /|\ | /|\ |\

References

  • Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 342-349.
  • J. Katzenelson and R. P. Kurshan, S/R: A Language for Specifying Protocols and Other Coordinating Processes, pp. 286-292 in Proc. IEEE Conf. Comput. Comm., 1986.

Links

Crossrefs

Cf. A006506, A027683, A066863, A066864, A066866, A067967 (shifted instead of bent).
Row sums of A067015.

Extensions

More terms from Sean A. Irvine, Nov 18 2023

A066863 Number of binary arrangements without adjacent 1's on n X n staggered hexagonal grid.

Original entry on oeis.org

2, 6, 43, 557, 14432, 719469, 70372090, 13351521479, 4941545691252, 3559349503024593, 4993739972681894885, 13642580224488264353504, 72582736229683196932680697, 751993955499337790653321567382, 15172223086707160824288341875907978
Offset: 1

Views

Author

R. H. Hardin, Jan 25 2002

Keywords

Examples

			Neighbors for n=4:
o--o--o--o
| /|\ | /|
|/ | \|/ |
o--o--o--o
| /|\ | /|
|/ | \|/ |
o--o--o--o
| /|\ | /|
|/ | \|/ |
o--o--o--o

References

  • Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 342-349.
  • J. Katzenelson and R. P. Kurshan, S/R: A Language for Specifying Protocols and Other Coordinating Processes, pp. 286-292 in Proc. IEEE Conf. Comput. Comm., 1986.

Links

Crossrefs

Cf. A006506, A027683, A066864, A066865, A066866.

Extensions

More terms from Sean A. Irvine, Nov 15 2023
Previous Showing 11-12 of 12 results.

Started in 1964 by Neil J. A. Sloane | Maintained by The OEIS Foundation Inc.

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