[seqfan] Re: Discrepancy between definition and terms in A257481?

Brad Klee bradklee at gmail.com
Mon May 18 17:27:49 CEST 2015


Hi Felix,

The sequence is cross-referenced with A182619.

"Number of vertices that are connected to two edges in a spiral without
holes constructed with n hexagons."

It could be that the "chain" is a linear object. For n=12 the chain would
spiral around to enclose 3 of its "links" with the other 9 circles.

I agree it is confusing, and could maybe use an illustration.

Thanks,

Brad



On Mon, May 18, 2015 at 3:20 AM, Felix Fröhlich <felix.froe at googlemail.com>
wrote:

> Dear SeqFans
>
> the definition says "a(n) is the maximal number of circles that can be
> enclosed by a chain of n circles". So why does the example say "For a(7),
> one circle can be completely enclosed by six surrounding circles"? Isn't
> that an example for the value of a(6)? Same goes for the example for a(10).
> Shouldn't a(10), by the definition of the sequence, give the maximum number
> of circles that can be surrounded by a chain of ten circles? Or am I simply
> completely misunderstanding something about the sequence? Can someone
> clarify how the definition, example and terms of the sequence correlate to
> each other?
>
> Best regards
> Felix Fröhlich
>
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>



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