A384754
The number of face-connected components of polyhedra in the omnitruncated cubic honeycomb up to translation, rotation, and reflection.
Original entry on oeis.org
1, 2, 4, 22, 179, 2227, 34278, 591787, 10765367, 201844314, 3860318208
Offset: 0
Cf.
A038119 (cubic honeycomb),
A038181 (bitruncated cubic honeycomb),
A343909 (tetrahedral-octahedral honeycomb),
A384254 (rectified cubic honeycomb),
A384274 (quarter cubic honeycomb).
A384756
Triangle read by rows: T(n,k) is the number of face-connected components of polyhedra with k prisms and n-k truncated cuboctahedra in the omnitruncated cubic honeycomb up to translation and rotation, 0 <= k <= n.
Original entry on oeis.org
1, 1, 1, 1, 2, 1, 3, 8, 11, 2, 14, 60, 118, 63, 5, 88, 575, 1457, 1372, 368, 16, 686, 5741, 18261, 24831, 13581, 2124, 59, 5966, 59088, 225424, 403494, 339880, 117447, 12201, 250, 54722, 616110, 2745525, 6084433, 6987036, 3927441, 926001, 69445, 1136
Offset: 0
| 0 1 2 3 4 5 6
--+------------------------------------------
0 | 1;
1 | 1, 1;
2 | 1, 2, 1;
3 | 3, 8, 11, 2;
4 | 14, 60, 118, 63, 5;
5 | 88, 575, 1457, 1372, 368, 16;
6 | 686, 5741, 18261, 24831, 13581, 2124, 59;
Cf.
A384755 (rotation and reflection).
A384782
Triangle read by rows: T(n,k) is the number of face-connected polyhedral components consisting of k cuboctahedra and n-k octahedra in the rectified cubic honeycomb up to translation, rotation, and reflection of the honeycomb, 0<=k<=n.
Original entry on oeis.org
1, 1, 1, 0, 1, 1, 0, 3, 4, 2, 0, 3, 18, 12, 7, 0, 6, 60, 126, 75, 23, 0, 3, 165, 751, 1025, 473, 112, 0, 3, 346, 3784, 9414, 8936, 3539, 607, 0, 1, 565, 14112, 66503, 108739, 80531, 27027, 3811, 0, 1, 723, 42420, 362939, 994542, 1204093, 725795, 212122, 25413, 0, 0, 723, 101237, 1586479, 7065791, 13389295, 12792264, 6512671, 1678783, 178083
Offset: 0
Table begins:
0 | 1;
1 | 1, 1;
2 | 0, 1, 1;
3 | 0, 3, 4, 2;
4 | 0, 3, 18, 12, 7;
5 | 0, 6, 60, 126, 75, 23;
6 | 0, 3, 165, 751, 1025, 473, 112;
7 | 0, 3, 346, 3784, 9414, 8936, 3539, 607;
8 | 0, 1, 565, 14112, 66503, 108739, 80531, 27027, 3811;
9 | 0, 1, 723, 42420, 362939, 994542, 1204093, 725795, 212122, 25413;
Cf.
A365970 (tetrahedral-octahedral honeycomb),
A384486 (quarter cubic honeycomb),
A384755 (omnitruncated cubic honeycomb).
Showing 1-3 of 3 results.
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