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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A378477 The number of n-colorings of the vertices of the truncated icosidodecahedron up to rotation and reflection.

Original entry on oeis.org

0, 1, 11076899964874299238703297447907328, 14975085832620260086776498590197757887552760437584786915, 14723725539819869413194145839524321308612931385268246121155792029614080, 6269303204385533375833261531851976948366440371233447120478861810030555725146484375
Offset: 0

Views

Author

Peter Kagey, Nov 27 2024

Keywords

Comments

Equivalently, the number of n-colorings of the faces of the disdyakis triacontahedron, which is the polyhedral dual of the truncated octahedron.
Colorings are counted up to the full icosahedral symmetry group of order 120.

Links

Crossrefs

Cf. A000332, A060530, A128766, A199406, A252704, A252705, A274900, A337963, A378473, A378474, A378475, A378476, A378478.

Formula

a(n) = 1/120*(n^120 + 31*n^60 + 20*n^40 + 24*n^24 + 20*n^20 + 24*n^12).
Asymptotically, a(n) ~ n^120/120

A378478 The number of n-colorings of the vertices of the snub dodecahedron up to rotation.

Original entry on oeis.org

0, 1, 19215358678900736, 706519304586988199183738259, 22153799929748598169960860333637632, 14456028966473392453665534687042333984375, 814561299678154291488767806377392301451223040, 8467031012327056088703142262372040966699399765293
Offset: 0

Views

Author

Peter Kagey, Nov 27 2024

Keywords

Comments

Equivalently, the number of n-colorings of the faces of the pentagonal hexecontahedron, which is the polyhedral dual of the snub dodecahedron.
Colorings are counted up to the rotational icosahedral symmetry group of order 60.

Links

Crossrefs

Cf. A000332, A060530, A128766, A199406, A252704, A252705, A274900, A337963, A378473, A378474, A378475, A378476, A378477.

Formula

a(n) = 1/60*(n^60 + 15*n^30 + 20*n^20 + 24*n^12).
Asymptotically, a(n) ~ n^60/60.
Previous Showing 11-12 of 12 results.

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