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.

Showing 1-3 of 3 results.

A363202 Number of free linear polycubes of size n, identifying rotations and reflections.

Original entry on oeis.org

1, 1, 2, 4, 12, 34, 125, 450, 1780, 7021, 28521, 115553, 472578, 1927634, 7890893, 32221475, 131812746, 538059836, 2198986587, 8970624060, 36628143111, 149328243327, 609238673619
Offset: 1

Views

Author

Joerg Arndt and Márk Péter Légrádi, May 21 2023

Keywords

Comments

Linear polycubes have two end points with one neighbor, the remaining cubes all have two neighbors.
Identifying rotations but not reflections gives A363201.
The fixed version is A118339.

Links

Crossrefs

Cf. A304196 (tree-like polycubes), A363208, A363209, A363210.

Extensions

a(17)-a(22) from Arthur O'Dwyer added by Andrey Zabolotskiy, Jun 07 2023
a(23) added by Arthur O'Dwyer, Aug 11 2023

A363209 Number of linear connected animals formed from n rhombic dodecahedra.

Original entry on oeis.org

1, 1, 3, 10, 52, 288, 1826, 11702, 76586, 501429, 3289245, 21554198
Offset: 1

Views

Author

Joerg Arndt and Márk Péter Légrádi, May 22 2023

Keywords

Comments

Rotations and reflections are identified.
Linear lattice animals have two end points with one neighbor, the remaining elements all have two neighbors.
The analog for polycubes is A363202. The analog for truncated octahedra is A363208.

Crossrefs

Cf. A363210.

A363210 Number of linear connected animals formed from n 4-gon or 6-gon connected truncated octahedra.

Original entry on oeis.org

1, 2, 5, 19, 95, 598, 4190, 30809, 230104, 1728305, 12993821
Offset: 1

Views

Author

Joerg Arndt and Márk Péter Légrádi, May 22 2023

Keywords

Comments

Rotations and reflections are identified.
Linear lattice animals have two end points with one neighbor, the remaining elements all have two neighbors.
The analog for polycubes is A363202. The analog for truncated octahedra is A363209. The analog for rhombic dodecahedra is A363208.
Showing 1-3 of 3 results.

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

Content is available under The OEIS End-User License Agreement.