[seqfan] Re: could GUESSS, which superseeker uses, be improved ?

[Alexander P-sky]

Dear Olivier,

Since OEIS's superseeker in my understanding is designed to receive as
its input only terms of the strictly integral sequence (please clarify
if my understanding is wrong) - then in my opinion it will indeed be
an improvement and not a potential limitation to modify the version of
the GUESSS which is invoked by the OEIS's superseeker in the way I
requested.

Best Regards,
ARP

On 8/29/11,  Gerard <olivier.gerard at gmail.com> wrote:
> Dear Alexander,
>
> This would not be an improvement but a potential limitation.
>
> You are free to discard fractional results yourself
> if you have hints that the sequence is strictly integral.
>
> In the case you have tested, it just means that a gf is
> very improbable unless it is much more complicated
> that what GUESSS is designed and parametrized to look for.
>
> For other users and other sequences, a fractional continuation
> could be a valuable insight about the nature of the sequence.
>
> Regards,
>
> Olivier
>
>
> On Mon, Aug 29, 2011 at 13:11, Alexander P-sky <apovolot at gmail.com> wrote:
>> Could "GUESSS", HARM DERKSEN'S PROGRAM FOR GUESSING A GENERATING
>> FUNCTION FOR A SEQUENCE, which superseeker uses, be improved to
>> exclude cases with non-integer results as shown below ?
>> Any taker ?
>>
>> Thanks,
>> ARP
>>
>> ---------- Forwarded message ----------
>> From: superseq-reply at oeis.org
>>
>> Report on [ 3,5,7,8,10,11,12,12,14,15,16,16,18,19,20,20,21,21]:
>>
>> TRY "GUESSS", HARM DERKSEN'S PROGRAM FOR GUESSING A GENERATING
>> FUNCTION FOR A SEQUENCE.
>>
>> Guesss suggests that the generating function  F(x)
>> may satisfy the following algebraic or differential equation:
>>
>> -71/64*x^9-69/32*x^8-441/64*x^7-145/16*x^6-525/64*x^5-467/64*x^4-113/64*x^3+2*x
>> ^2+2*x+3+(x^9-x^8-71/64*x^7+1/16*x^6-27/16*x^5+25/16*x^4+59/64*x^3+x-1)*F(x)
>> =
>> 0
>>
>> If this is correct the next 6 numbers in the sequence are:
>>
>> [21, 1221/64, 1003/64, 335/32, 14567/4096, -9839/1024]
>>
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>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
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