# [seqfan] Re: Definition of A255231

Neil Sloane njasloane at gmail.com
Fri Nov 4 17:36:42 CET 2016

```Richard,  I think you are right.  It is not obvious to me
what the author intended. The terms look to be simply wrong.

I suggest you go ahead and make all the corrections that are needed.

Best regards
Neil

Neil J. A. Sloane, President, OEIS Foundation.
11 South Adelaide Avenue, Highland Park, NJ 08904, USA.
Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.
Email: njasloane at gmail.com

On Fri, Nov 4, 2016 at 12:21 PM, Richard J. Mathar <mathar at mpia-hd.mpg.de>
wrote:

> Can someone comment on the definition in A255231? I find for example
> a(8) = 2 because 8 has the two representations 8^1 =2^3. 2^1*4^1 is not
> counted because this has two distinct bases but only one distint exponent.
> 8=2^1*2^2 is not counted because there is one discinct base and two
> distinct
> exponents.
>
> For n=36 I find the representations 36^1 = 6^2 = 3^2*4^1 = 2^2*9^1, so
> a(36)=4,
> not 3 as in the example.
>
> My variant of the sequence starts for n=1..36 as
> 1, 1, 1, 2, 1, 1, 1, 2, 2, 1, 1, 2, 1, 1, 1, 4, 1, 2, 1, 2, 1, 1, 1, 3, 2,
> 1, 2, 2, 1, 1, 1, 5, 1, 1, 1, 4
>
> Richard
>
> --
> Seqfan Mailing list - http://list.seqfan.eu/
>

```