[seqfan] Rings of regular polygons

[Felix Fröhlich]

Dear Sequence fans,

let a(n) count the number of rings of regular n-gons such that all centers
of the n-gons lie on the same circle. For example, the ring that can be
formed by regular heptagons is probably well known. Other regular polygons
also appear to admit the construction of such rings. I created some
illustrations in a vector graphics program and those illustrations seem to
suggest that the sequence (with offset 5) starts as follows:

1, 1, 1, 2, 2, 2, 1, 4, 0, 2

A PDF containing the illustrations is attached.

How could those values be proven correct, and would this be worth of
inclusion in the OEIS?

Best regards
Felix Fröhlich

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