[seqfan] Re: Factorials and Cubes

[Vladimir Shevelev]

Another relevant paper is
D. Berend and C. F. Osgood, On the equation P(x) = n! and a Question of Erdős, J. of Number Theory 42 (1992), 189 - 193.

Regards,
Vladimir

________________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Vladimir Shevelev [shevelev at exchange.bgu.ac.il]
Sent: 12 June 2014 15:02
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: Factorials and Cubes

_Dear Frank,

I think that a very useful paper in this direct is "On polynomial-factorial diophantine equations" by Daniel Berend and Jørgen E. Harmse in  journal " Trans. Amer. Math. Soc.", 358 (2006), no.4, 1741-1779.

Best regards,
Vladimir
_______________________________________
From: SeqFan [seqfan-bounces at list.seqfan.eu] on behalf of Eric Schmidt [eric41293 at comcast.net]
Sent: 12 June 2014 05:55
To: Sequence Fanatics Discussion list
Subject: [seqfan] Re: Factorials and Cubes

On 6/11/2014 8:14 PM, Frank Adams-Watters wrote:
> Are 2, 3, 5, 9 the only numbers such that n^3 - n is a factorial?
>
> Should this sequence be added?

Cf. A061030 - A061032.
IMO if it is proved that those are the only such numbers the info should
just be added to these seqs.

--
Eric Schmidt

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