Polynomial equations and Hyper-Catalan numbers

[Joshua Searle]

Seqfans,

I was made aware of this paper:
https://www.tandfonline.com/doi/full/10.1080/00029890.2025.2460966#d1e523

How significant is this?

I note that the OEIS is mentioned extensively, with many sequences and tables given that do not yet have entries.

Joshua.

[Neil Sloane]

Hi Joshua!  Good catch! That Wildberger-Rubine paper is mentioned in 11 OEIS entries, e.g. A163456.  But it is certainly a serious paper, and we should go through it carefully and make sure all the sequences there are now in the OEIS.  If you want to start the ball rolling and do that, please go ahead.   I can help if necessary.

Best regards

Neil 

Neil J. A. Sloane, Chairman, OEIS Foundation.

Also Visiting Scientist, Math. Dept., Rutgers University, 

Email: njas...@gmail.com

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[Joshua Searle]

I know you're a busy man so I'm really sorry to disappoint you but I'm already struggling with the plates that I'm spinning right now, I fear another and it will all come crashing down! Hopefully someone else interested enough seeing this can help out instead.

If there are already citations it may have been out longer than I realised. The paper itself mentions things that didn't have entries at the time but it may be that they have already been added? The further directions section gives the impression that there would be potentially quite a few to add. I admit to skimming but the geode array they mention seems like many such can be generated?

Joshua.