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 1-5 of 5 results.

A363208 Number of linear connected animals formed from n 6-gon connected truncated octahedra.

Original entry on oeis.org

1, 1, 3, 7, 29, 114, 578, 2890, 15431, 82091, 442702, 2377819, 12820705
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 rhombic dodecahedra is A363209.

Crossrefs

Cf. A363210.

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.

A118339 Number of simple chains with n-1 edges strongly embedded in a simple cubic lattice.

Original entry on oeis.org

1, 3, 15, 63, 267, 1107, 4623, 19071, 78987, 324543, 1337511, 5483235, 22527315, 92200455, 377965479, 1544925891, 6322891707
Offset: 1

Views

Author

R. J. Mathar, May 14 2006

Keywords

Comments

Gaunt et al. also enumerate clusters with upper limits on the vertex degree.
a(n) is the number of fixed linear or snake polycubes of size n. - John Mason, Sep 27 2024

Links

Crossrefs

Cf. A182644, A363201, A363202.

A363201 Number of free linear polycubes of size n, identifying rotations but not reflections.

Original entry on oeis.org

1, 1, 2, 5, 16, 54, 212, 827, 3369, 13653, 56052, 229004, 939935, 3843859, 15753903, 64380796, 263475472, 1075780425, 4397161320, 17939394036, 73251877235, 298646347226, 1218453344740
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.
Additionally identifying reflections gives A363202.
The fixed version is A118339.

Links

Crossrefs

Cf. A363199 (tree-like polycubes).

Extensions

a(15)-a(23) from Arthur O'Dwyer added by Andrey Zabolotskiy, Jun 07 2023
Showing 1-5 of 5 results.

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

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