[seqfan] Re: A187781 - Number of noncongruent polygonal regions in a regular n-gon with all diagonals drawn

Chris Scussel scussel at kwom.com
Wed Jun 7 16:26:03 CEST 2023


Thank you Brad for your prompt checking of my claim and
the associated remarkably thorough exposition. If you have
the resources and inclination it would be nice to see you 
reuse your work for the n=16 case, where OEIS has a(16)=61
and I claim it should be 60. Either way thanks again for your
work on this.

Chris

---- Original Message ----
From: "brad klee via SeqFan" <seqfan at list.seqfan.eu>
Sent: 6/7/2023 4:57:06 AM
To: "Sequence Fanatics Discussion list" <seqfan at list.seqfan.eu>
Cc: "brad klee" <bradklee at proton.me>
Subject: [seqfan] Re: A187781 - Number of noncongruent polygonal regions in a regular n-gon with all diagonals drawn

> I am hoping someone on this list can either point out where I have gone wrong
> or agree that I'm making sense. 

https://community.wolfram.com/groups/-/m/t/2932082

This calculation proves the claim true for me, a(12)=21. Does anyone disagree?

> I find it a bit hard to believe that this is new.

It's easy to be more skeptical and doubt that anyone ever checked terms past n=7, 
much less to n=12. Then it's only one point of failure, and the calculation is 
not entirely easy... 

Nice find, 

--Brad

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