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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A365650 Number of free n-polyominoids, allowing both corner- and edge-connections.

Original entry on oeis.org

1, 4, 36, 660, 16687
Offset: 1

Views

Author

Pontus von Brömssen, Sep 17 2023

Keywords

Comments

These structures could be called polypletoids (or pseudo-polyominoids), because they are related to polyplets (polyominoids) as polyominoids (pseudo-polyominoes) are related to polyominoes.

Links

Crossrefs

Cf. A000105 (polyominoes), A030222 (polyplets), A075679 (polyominoids), A365651 (fixed), A365652 (corner-connections only).
30th row of A366766.

A365652 Number of free n-polyominoids, allowing corner-connections only.

Original entry on oeis.org

1, 2, 19, 293, 6590, 168753
Offset: 1

Views

Author

Pontus von Brömssen, Sep 17 2023

Keywords

Comments

Two squares are allowed to meet in an edge, but the structure must be connected through pure corner-connections (where the two squares meet in a single point) only. There are 3 such cases of size 3; see the linked illustration.

Links

Crossrefs

Cf. A075679 (polyominoids, edge-connections only), A365650 (corner- and edge-connections), A365653 (fixed).
27th row of A366766.

A363205 Number of polycubes with n cells, allowing face connections as well as corner connections, identifying mirror images.

Original entry on oeis.org

1, 2, 7, 56, 567, 8251, 135380, 2390974, 43659169
Offset: 1

Views

Author

Joerg Arndt and Márk Péter Légrádi, May 21 2023

Keywords

Crossrefs

Cf. A038119 (only face connections).
Cf. A268666 (edge connections as well as face connections).
Cf. A363206 (edge connections as well as corner connections).
Cf. A272368 (all connections: face, edge, corner).
36th row of A366766.

A363206 Number of polycubes with n cells, allowing edge connections as well as corner connections, identifying mirror images.

Original entry on oeis.org

1, 2, 10, 113, 1772, 37390, 857772, 20629656
Offset: 1

Views

Author

Joerg Arndt and Márk Péter Légrádi, May 21 2023

Keywords

Crossrefs

Cf. A038119 (only face connections).
Cf. A268666 (edge connections as well as face connections).
Cf. A363205 (face connections as well as corner connections).
Cf. A272368 (all connections: face, edge, corner).
37th row of A366766.

A365997 Number of free polyominoids with n cells, allowing flat corner-connections and any edge-connections.

Original entry on oeis.org

1, 3, 14, 129, 1555, 24144
Offset: 1

Views

Author

Pontus von Brömssen, Sep 26 2023

Keywords

Links

Crossrefs

See A365995 for further details and a table of related sequences.
Cf. A365998 (fixed).
22nd row of A366766.

A365999 Number of free polyominoids with n cells, allowing right-angled corner-connections.

Original entry on oeis.org

1, 1, 13, 139, 2546, 51416
Offset: 1

Views

Author

Pontus von Brömssen, Sep 26 2023

Keywords

Links

Crossrefs

See A365995 for further details and a table of related sequences.
Cf. A366000 (fixed).
23rd row of A366766.

A366001 Number of free polyominoids with n cells, allowing right-angled corner-connections and flat edge-connections.

Original entry on oeis.org

1, 2, 18, 243, 4881, 111697
Offset: 1

Views

Author

Pontus von Brömssen, Sep 26 2023

Keywords

Links

Crossrefs

See A365995 for further details and a table of related sequences.
Cf. A366002 (fixed).
24th row of A366766.

A366003 Number of free polyominoids with n cells, allowing right-angled corner-connections and right-angled edge-connections.

Original entry on oeis.org

1, 2, 24, 359, 7882, 194076
Offset: 1

Views

Author

Pontus von Brömssen, Sep 28 2023

Keywords

Comments

See A365995 for further details and a table of related sequences.

Links

Crossrefs

Cf. A365995, A366004 (fixed).
25th row of A366766.

Extensions

a(6) from Pontus von Brömssen, Mar 04 2025

A366005 Number of free polyominoids with n cells, allowing right-angled corner-connections and any edge-connections.

Original entry on oeis.org

1, 3, 29, 457, 10378
Offset: 1

Views

Author

Pontus von Brömssen, Sep 28 2023

Keywords

Comments

See A365995 for further details and a table of related sequences.

Links

Crossrefs

Cf. A365995, A366006 (fixed).
26th row of A366766.

A366007 Number of free polyominoids with n cells, allowing any corner-connections and flat edge-connections.

Original entry on oeis.org

1, 3, 25, 431, 10175
Offset: 1

Views

Author

Pontus von Brömssen, Sep 28 2023

Keywords

Comments

See A365995 for further details and a table of related sequences.

Links

Crossrefs

Cf. A365995, A366008 (fixed).
28th row of A366766.
Previous Showing 21-30 of 48 results. Next

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

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