[seqfan] Re: A089068 and A180667 duplicates?

[Max Alekseyev]

q=1 can be seen directly from the equation:

If k satisfies the equation
k^3 - k^2 - k - 1 = 0
then
k^3 - k^2 - 1 = k.
Dividing by k, we have
k^2 - k - 1/k = 1
but the l.h.s. is q as it is defined.

Regards,
Max

On Wed, Sep 22, 2010 at 2:38 PM, Maximilian Hasler
<maximilian.hasler at gmail.com> wrote:
> On the page http://www.kees.cc/gldsec.html the exact expression for
> k=1.83928675521416113... is given :
> k is the root of x^3-x^2-x-1,
> and if the exact value of k is used, then q=1,
> and the given GF is valid and the sequences are equal.
>
> Maximilian
>
>
> On Wed, Sep 22, 2010 at 10:58 AM, Max Alekseyev <maxale at gmail.com> wrote:
>> Johannes' update is numerically unstable (depends on the chosen
>> precision) and should not be accepted into OEIS.
>>
>> Regards,
>> Max
>>
>> On Wed, Sep 22, 2010 at 10:41 AM, Richard Mathar
>> <mathar at strw.leidenuniv.nl> wrote:
>>>
>>> Johannes Meijer says that a correction to A089068
>>> is submitted which will lead to two distinct sequences
>>> and resolve this issue.
>>>
>>> Richard Mathar
>>>
>>>
>>> _______________________________________________
>>>
>>> Seqfan Mailing list - http://list.seqfan.eu/
>>>
>>
>>
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