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 1-2 of 2 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

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.
Showing 1-2 of 2 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.