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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A346373 Lowest edge indices of an edge-connected n-gon chain (beginning with n = 3, and increasing by one for each subsequent n-gon), such that no n-gons in the sequence overlap.

Original entry on oeis.org

1, 2, 3, 3, 3, 4, 5, 4, 5, 6, 6, 6, 7, 7, 8, 8, 9, 8, 10, 10, 10, 11, 11, 12, 11, 14, 12, 15, 13, 13, 16, 16, 15, 17, 16, 17, 17, 18, 20, 18, 21, 18, 20, 21, 22, 22, 22, 23, 22, 24, 23, 25, 25, 27, 25, 27, 25, 28, 26, 30, 29, 29, 30, 30, 30, 31, 30, 33, 32, 34, 34, 33, 36
Offset: 1

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Author

Jan Srpčič, Jul 14 2021

Keywords

Comments

Joining regular polygons (n-gons) of unit side length, such that each n-gon shares one edge with the previous n-gon, starting with a triangle (3-gon), and increasing n by 1 for each subsequent n-gon, this sequence is a list of indices, a(n), that correspond to the edges of each n-gon in sequence, such that, for each n-gon, a(n) is the smallest possible edge index so as not to allow any n-gon to overlap with any other n-gon. The edge indices for an n-gon are defined as a_n(n) = 1 for the edge that is joined with an edge of a previous n-gon, and increase by 1 for each subsequent edge in a clockwise fashion (or, counterclockwise; the sequence remains identical), up to a_n(n) = n. Then, a(n) = min(a_n(n)), such that the above holds.
It appears a(n) approaches n/2, for large n.

Crossrefs

Cf. A346112.
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