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 1-9 of 9 results.

A038173 Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice and reflections.

Original entry on oeis.org

1, 1, 4, 20, 131, 1211, 12734, 144158, 1687737, 20196788, 245366931, 3016835487
Offset: 1

Views

Author

Achim Flammenkamp

Keywords

Comments

This extends earlier work of Torsten Sillke (torsten.sillke(AT)lhsystems.com).

Links

Crossrefs

Cf. A000162, A038119 (for simple-cubic lattice), A038168-A038174, A300812 (refined by number of contacts).
33rd row of A366766.

Extensions

a(10) from George Sicherman, Jul 24 2012
a(11) from Joerg Arndt and Márk Péter Légrádi, Apr 30 2023
a(12) from Bert Dobbelaere, Jun 26 2025

A038181 Number of "connected animals" formed from n 4-gon or 6-gon connected truncated octahedra in the b.c.c. lattice, allowing translation and rotations of the lattice and reflections.

Original entry on oeis.org

1, 2, 6, 35, 251, 2602, 30900, 400818, 5401599, 74617105, 1047497078, 14888851869
Offset: 1

Views

Author

Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM)

Keywords

Comments

These are "free polyforms" consisting of face-connected polyhedral cells in the bitruncated cubic honeycomb. - Peter Kagey, Jun 23 2025

Links

Crossrefs

Cf. A000162, A038119, A038168-A038174, A038180, A038386.

Extensions

More terms from Achim Flammenkamp
Definition corrected by Fred Bayer, Aug 11 2010
More terms from Mark Owen, Oct 11 2013

A038168 Number of "connected animals" formed from n tricapped truncated tetrahedra in the diamond lattice, allowing translation and rotations of the lattice.

Original entry on oeis.org

1, 1, 1, 4, 10, 39, 160, 726, 3344, 16004, 77323, 379117, 1874540
Offset: 1

Views

Author

Achim Flammenkamp

Keywords

Links

Crossrefs

Cf. A000162, A038119, A038169-A038174.

A038171 Number of "connected animals" formed from n 6-gon connected truncated octahedra (or corner connected cubes) in the b.c.c. lattice, allowing translation and rotations of the lattice and reflections.

Original entry on oeis.org

1, 1, 3, 12, 61, 407, 3226, 28335, 262091, 2501168, 24328920, 239931556
Offset: 1

Views

Author

Achim Flammenkamp

Keywords

Links

Crossrefs

Cf. A000162, A038119, A038168-A038174.
35th row of A366766.

Extensions

a(10) and a(11) from Joerg Arndt and Márk Péter Légrádi, Apr 30 2023

A038169 Number of "connected animals" formed from n triakis truncated tetrahedra connected along hexagonal faces in the triakis truncated tetrahedral honeycomb, allowing translations, rotations, and reflections of the honeycomb.

Original entry on oeis.org

1, 1, 1, 3, 7, 24, 88, 385, 1713, 8112, 38869, 190128, 938357
Offset: 1

Views

Author

Achim Flammenkamp

Keywords

Comments

Previous name was 'Number of "connected animals" formed from n tricapped truncated tetrahedra in the diamond lattice, allowing translation and rotations of the lattice and reflections.' - Peter Kagey, May 30 2025

References

  • A. T. Balaban and Paul von R. Schleyer, "Graph theoretical enumeration of polymantanes", Tetrahedron, (1978), vol. 34, pp. 3599-3609. See Page 3605.

Links

Crossrefs

Cf. A000162, A038119, A038168, A038170, A038171, A038172, A038173, A038174.

Extensions

Name changed by Peter Kagey, May 30 2025

A038170 Number of "connected animals" formed from n 6-gon connected truncated octahedra (or corner-connected cubes) in the b.c.c. lattice, allowing translation and rotations of the lattice.

Original entry on oeis.org

1, 1, 3, 14, 88, 686, 5966, 54722, 516454, 4970445, 48527372, 479314799
Offset: 1

Views

Author

Achim Flammenkamp

Keywords

Links

Crossrefs

Cf. A000162, A038119, A038168-A038174.

Extensions

a(11) and a(12) from Joerg Arndt and Márk Péter Légrádi, May 02 2023

A038172 Number of "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the face-centered cubic lattice, allowing translation and rotations of the lattice.

Original entry on oeis.org

1, 1, 5, 28, 225, 2274, 24955, 286143, 3367443, 40358811, 490598186
Offset: 1

Views

Author

Achim Flammenkamp

Keywords

Links

Crossrefs

Cf. A000162, A038119, A038168-A038174.

Extensions

This extends earlier work of Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM). Added the 10th term.
a(11) from Joerg Arndt and Márk Péter Légrádi, Apr 30 2023

A038180 Number of "connected animals" formed from n square- or hexagon-connected truncated octahedra in the b.c.c. lattice, allowing translation and rotations of the lattice.

Original entry on oeis.org

1, 2, 6, 44, 394, 4680, 59361, 789303, 10742595, 148921162, 2093400002, 29769338104
Offset: 1

Views

Author

Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM)

Keywords

Links

Crossrefs

Cf. A000162, A038119, A038168-A038174, A038181.

Extensions

Corrected and extended by Achim Flammenkamp
Definition corrected by Fred Bayer, Aug 11 2010
More terms from Mark Owen, Oct 11 2013

A038386 Number of "connected animals" formed from n 4-gon or 6-gon connected truncated octahedra in the b.c.c. lattice, allowing only translation of the lattice.

Original entry on oeis.org

1, 7, 67, 734, 8716, 109070, 1416284, 18903142, 257718235, 3573580367
Offset: 1

Views

Author

Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM)

Keywords

Links

Crossrefs

Cf. A000162, A038119, A038168-A038174, A038180, A038181.

Extensions

More terms from Achim Flammenkamp
Name corrected and a(9)-a(10) from Aaron N. Siegel, May 31 2022
Showing 1-9 of 9 results.

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

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