n such that there is one sequence of length n having equal sum and product

[David Wilson]

Hugo van der Sanden wrote:

> It doesn't appear to be being treated as a "trivial" solution so I guess
> it is somehow considered invalid: are the a_i constrained to be positive
> integers? I think the book and the EIS sequence would both benefit from
> clarification.

Your observation is correct.  In the title, "sequence" would be more
accurately replaced with "multiset of positive integers".

> I think it is also worth mentioning the minimal constraint that terms > 2
> in A033179 must be of the form p+1 (since [ a+1, b+1, <1> x (ab - 1) ]
> is always a solution for k = ab+1, and non-trivial when a >= b >= 2).
> 
> Hugo van der Sanden

Pretty observation.  I will submit the corrections.