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 1-4 of 4 results.

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.

A038174 Number of "polyspheres", or "connected animals" formed from n rhombic dodecahedra (or edge-connected cubes) in the f.c.c. lattice, allowing translation and rotations of the lattice, reflections and 180 deg. rotations about a 3-fold symmetry axis of the lattice.

Original entry on oeis.org

1, 1, 4, 25, 210, 2209, 24651, 284768, 3360995, 40328652, 490455189
Offset: 1

Views

Author

Achim Flammenkamp, Torsten Sillke (TORSTEN.SILLKE(AT)LHSYSTEMS.COM)

Keywords

Links

Crossrefs

Cf. A000162, A038119, A038168, A038169, A038170, A038171, A038172, A038173.

Extensions

a(9) and a(10) from Achim Flammenkamp Feb 15 1999
a(11) from Ishino Keiichiro's website added by Andrey Zabolotskiy, Mar 03 2023

A384486 Table read by rows: number of connected components of polyhedra in the quarter cubic honeycomb consisting of k tetrahedra and n-k truncated tetrahedra, up to translation, rotation, and reflection of the honeycomb, 0<=k<=n.

Original entry on oeis.org

1, 1, 1, 1, 1, 0, 1, 3, 1, 0, 3, 8, 8, 1, 0, 7, 31, 43, 14, 1, 0, 24, 126, 261, 152, 18, 0, 0, 88, 598, 1543, 1467, 369, 14, 0, 0, 385, 2986, 9276, 12161, 5661, 602, 8, 0, 0, 1713, 15467, 55426, 92723, 65892, 15251, 694, 3, 0, 0, 8112, 81217, 330821, 666705, 646974, 254615, 29830, 551, 1, 0, 0
Offset: 0

Views

Author

Peter Kagey, May 30 2025

Keywords

Comments

Row sums are A384274.

Examples

			Table begins:
 n\k|  0    1     2     3    4   5  6  7
----+------------------------------------
  0 |  1;
  1 |  1,   1;
  2 |  1,   1,    0;
  3 |  1,   3,    1,    0;
  4 |  3,   8,    8,    1,   0;
  5 |  7,  31,   43,   14,   1,  0;
  6 | 24, 126,  261,  152,  18,  0, 0;
  7 | 88, 598, 1543, 1467, 369, 14, 0, 0;

Links

Crossrefs

Cf. A038169, A384274.
Cf. A365970 (tetrahedral-octahedral honeycomb).

Formula

T(n,0) = A038169(n).

Extensions

More terms from Bert Dobbelaere, Jun 12 2025

A120540 Number of C-rotamers with n carbon atoms.

Original entry on oeis.org

1, 1, 1, 3, 7, 25, 95
Offset: 1

Views

Author

Parthasarathy Nambi, Aug 16 2006

Keywords

Comments

See Table 1 on page 3605 of Balaban and Schleyer paper.
a(n) counts free polysticks on the diamond net with n vertices. - Andrey Zabolotskiy, Nov 19 2023

Examples

			a(6) = 25 polysticks with 6 vertices include A038169(6) = 24 dual graphs to the hexagonal-face-connected animals formed by 6 triakis truncated tetrahedra (which are the Voronoi cells of the diamond net), including the 6-cycle, plus the 6-cycle without one edge.

Links

Crossrefs

Cf. A038169, A039740.
Showing 1-4 of 4 results.

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

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