A329500
Coordination sequence for 1-skeleton of truncated icosahedron or "Buckyball".
Original entry on oeis.org
1, 3, 6, 8, 10, 10, 10, 8, 3, 1
Offset: 0
A118785
Coordination sequence for 600-cell: number of vertices at graph distance n from a given vertex on the skeleton of the regular 600-cell (or {5,3,3}).
Original entry on oeis.org
1, 12, 32, 42, 32, 1
Offset: 0
- H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, page 153.
A167984
Number of n-cycles on the graph of the regular 120-cell, 3 <= n <= 600.
Original entry on oeis.org
0, 0, 720, 0, 0, 3600, 2400, 4320, 28800, 35400, 64800, 284400, 540000, 1139400, 3708000, 8557200, 19677600, 55725120, 140359200, 346456800, 935942400, 2442469200, 6282571680
Offset: 3
a(5) = 720, because there are 720 5-cycles on the graph of the 120-cell.
Cycle polynomial is 720*x^5 + 3600*x^8 + 2400*x^9 + 4320*x^10 + 28800*x^11 + 35400*x^12 + 64800*x^13 + 284400*x^14 + 540000*x^15 + 1139400*x^16 + 3708000*x^17 + 8557200*x^18 + 19677600*x^19 + 55725120*x^20 + 140359200*x^21 + 346456800*x^22 + 935942400*x^23 + ...
Cf.
A167981 (2n-cycles on graph of the tesseract).
Cf.
A167982 (n-cycles on graph of 16-cell).
Cf.
A167983 (n-cycles on graph of 24-cell).
Cf.
A167985 (n-cycles on graph of 600-cell).
Cf.
A085452 (2k-cycles on graph of n-cube).
Cf.
A144151 (ignoring first three columns (0<=k<=2), k-cycles on (n-1)-simplex).
Cf.
A167986 (k-cycles on graph of n-orthoplex).
Cf.
A108997 (number of vertices n-steps from a given vertex on graph of 120-cell).
A329499
Coordination sequence for 1-skeleton of the 24-cell (or {3,4,3}).
Original entry on oeis.org
- H. S. M. Coxeter, Regular Polytopes, 3rd ed., Dover, NY, 1973, page 149.
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