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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A288567 Number of connected arrangements of n circles in the affine plane, in the sense that the union of the boundaries of the circles is a connected set and every circle intersects all the other circles.

Original entry on oeis.org

1, 1, 1, 3, 21, 980
Offset: 0

Views

Author

N. J. A. Sloane, Jun 13 2017, based on information supplied by Jon Wild

Keywords

Comments

These counts have been reduced for mirror symmetry.
See A250001, the main entry for this problem, for further information.

Crossrefs

A296408 Number of cylindrical connected arrangements of n pseudo-circles on a sphere, in the sense that the union of the pseudo-circles is a connected set and two cells of the arrangement are separated by each of the pseudo-circles, reduced for mirror symmetry.

Original entry on oeis.org

1, 1, 1, 3, 20, 900, 530530
Offset: 0

Views

Author

Manfred Scheucher, Dec 11 2017

Keywords

Comments

For more information, see A288568.

Crossrefs

A296409 Number of digon-free cylindrical connected arrangements of n pseudo-circles on a sphere, in the sense that the union of the pseudo-circles is a connected set and two cells of the arrangement are separated by each of the pseudo-circles, reduced for mirror symmetry.

Original entry on oeis.org

1, 1, 1, 1, 3, 30, 4477
Offset: 0

Views

Author

Manfred Scheucher, Dec 11 2017

Keywords

Comments

For more information, see A288568.

Crossrefs

A296410 Number of non-isomorphic digon-free arrangements of n pairwise intersecting pseudo-circles on a sphere, reduced for mirror symmetry.

Original entry on oeis.org

1, 1, 1, 1, 2, 14, 2131, 3012972
Offset: 0

Views

Author

Manfred Scheucher, Dec 11 2017

Keywords

Comments

For more information, see A296406.

Crossrefs

A296411 Number of non-isomorphic cylindrical arrangements of n pairwise intersecting pseudo-circles on a sphere, in the sense that two cells of the arrangement are separated by each of the pseudo-circles, reduced for mirror symmetry.

Original entry on oeis.org

1, 1, 1, 8, 278, 144395, 436634633
Offset: 0

Views

Author

Manfred Scheucher, Dec 11 2017

Keywords

Comments

For more information, see A296406.

Crossrefs

Extensions

a(7) corrected by Manfred Scheucher, May 09 2018
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