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.

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A377335 Number of polycubes with 8*n cells, full symmetry, and the rotation point of the symmetries at the common corner of 8 cells (that may or may not be part of the polycube).

Original entry on oeis.org

1, 0, 0, 2, 0, 1, 5, 1, 2, 12, 4, 9, 33, 14, 29, 92, 44, 105, 272, 141, 326, 793, 438, 1069, 2337, 1362, 3313, 6938, 4213, 10636, 20772, 13089, 32842, 62398, 40630, 103676, 187926, 126201, 319378, 567076, 391551, 999680, 1714404, 1214219, 3077337, 5192627
Offset: 1

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Author

Pontus von Brömssen, Oct 25 2024

Keywords

Comments

The number of cells of a polycube, that has full symmetry with the rotation point of the symmetries at the common corner of 8 cells, must be a multiple of 8.

Crossrefs

Formula

a(n) = A376971(8*n)-A377334(8*n).
Conjecture: a(n) < a(n-1) if and only if n mod 3 = 2.
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