A275924 -id:A275924 - cp's OEIS frontend

A288555 Number of one-sided arrangements of n circles in the affine plane.

Original entry on oeis.org

1, 1, 3, 14, 200

Offset: 0

N. J. A. Sloane, Jun 13 2017, based on information supplied by Jon Wild on Aug 31 2016

These counts are not reduced for mirror symmetry.

See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

A288556 Number of connected one-sided arrangements of n circles in the affine plane, in the sense that the union of the solid circles is a connected set.

Original entry on oeis.org

1, 1, 2, 11, 183

Offset: 0

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

These counts are not reduced for mirror symmetry.

See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

A288557 Number of connected one-sided arrangements of n circles in the affine plane, in the sense that the union of the boundaries of the circles is a connected set.

Original entry on oeis.org

1, 1, 1, 6, 139

Offset: 0

N. J. A. Sloane, Jun 13 2017, based on information supplied by Jon Wild on Aug 31 2016

These counts are not reduced for mirror symmetry.

See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

A288560 Number of connected arrangements of n pseudo-circles in the affine plane, in the sense that the union of the solid pseudo-circles is a connected set.

Original entry on oeis.org

1, 1, 2, 11, 156, 16782

Offset: 0

N. J. A. Sloane, Jun 13 2017, based on information supplied by Jon Wild on Aug 31 2016

Arrangements in A288559 that are connected (in the sense that the union of the solid pseudo-circles is a connected set).
These counts have been reduced for mirror symmetry.
See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

A288561 Number of connected arrangements of n pseudo-circles in the affine plane, in the sense that the union of the boundaries of the pseudo-circles is a connected set.

Original entry on oeis.org

1, 1, 6, 112, 15528

Offset: 0

N. J. A. Sloane, Jun 13 2017, based on information supplied by Jon Wild on Aug 31 2016

Arrangements in A288559 that are connected, in the sense that the union of the (boundaries of the) pseudo-circles is a connected set.
These counts have been reduced for mirror symmetry.
See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

A288562 Number of arrangements of n pseudo-circles in the affine plane with the property that every pseudo-circle intersects all the other circles.

Original entry on oeis.org

1, 1, 1, 4, 45, 5108, 4598809

Offset: 0

N. J. A. Sloane, Jun 12 2017, based on information supplied by Jon Wild on Aug 31 2016

Arrangements in A288559 that are connected, with the property that every pseudo-circle intersects all the other pseudo-circles.
These counts have been reduced for mirror symmetry.
See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

a(6) from Manfred Scheucher, May 09 2018

A288564 Number of connected one-sided arrangements of n pseudo-circles in the affine plane, in the sense that the union of the solid pseudo-circles is a connected set.

Original entry on oeis.org

1, 1, 2, 11, 183, 30408

Offset: 0

N. J. A. Sloane, Jun 13 2017, based on information supplied by Jon Wild on Aug 31 2016

Arrangements in A288563 that are connected (in the sense that the union of the solid pseudo-circles is a connected set).
These counts have not been reduced for mirror symmetry.
See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

A288565 Number of connected one-sided arrangements of n pseudo-circles in the affine plane, in the sense that the union of the boundaries of the pseudo-circles is a connected set.

Original entry on oeis.org

1, 1, 1, 6, 139, 28643

Offset: 0

N. J. A. Sloane, Jun 13 2017, based on information supplied by Jon Wild on Aug 31 2016

Arrangements in A288559 that are connected, in the sense that the union of the (boundaries of the) pseudo-circles is a connected set.
These counts have not been reduced for mirror symmetry.
See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

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

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

These counts have been reduced for mirror symmetry.

See A250001, the main entry for this problem, for further information.

Cf. A250001, A275923, A275924, A288554-A288568.

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

Manfred Scheucher, Dec 11 2017

For more information, see A288568.

Cf. A250001, A275923, A275924, A288554-A288568, A296406, A296407-A296412, A006248.

cp's OEIS Frontend

A288555 Number of one-sided arrangements of n circles in the affine plane.

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A288556 Number of connected one-sided arrangements of n circles in the affine plane, in the sense that the union of the solid circles is a connected set.

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A288557 Number of connected one-sided arrangements of n circles in the affine plane, in the sense that the union of the boundaries of the circles is a connected set.

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A288560 Number of connected arrangements of n pseudo-circles in the affine plane, in the sense that the union of the solid pseudo-circles is a connected set.

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A288561 Number of connected arrangements of n pseudo-circles in the affine plane, in the sense that the union of the boundaries of the pseudo-circles is a connected set.

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A288562 Number of arrangements of n pseudo-circles in the affine plane with the property that every pseudo-circle intersects all the other circles.

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Extensions

A288564 Number of connected one-sided arrangements of n pseudo-circles in the affine plane, in the sense that the union of the solid pseudo-circles is a connected set.

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A288565 Number of connected one-sided arrangements of n pseudo-circles in the affine plane, in the sense that the union of the boundaries of the pseudo-circles is a connected set.

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Author

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Comments

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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.

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Comments

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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.

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