[seqfan] Re: Number of real roots of polynomial with coefficients +-1, or 0, +-1

Peter Munn techsubs at pearceneptune.co.uk
Sat Feb 25 01:17:06 CET 2017


Yes, that is my suggestion, Neil, which I mentioned in case someone here
might like to take it further, as you suggest. Whilst I might have a bit
of a hand-waving feel for the topic, I really don't have the skills in
calculating with polynomials to reliably produce the sequence terms. So I
am very happy for someone else to take up the idea.

Best Regards,

Peter

> Peter Munn, you are suggesting the max no of real roots for a poly of
> degree n and coeffts 0 or +-1, with the first and last coeffts nonzero,
> right?
> That wasn't our original intention, but it would make a very reasonable
> companion to A282691 and A282692.  If you - or someone else - can send me
> the initial terms I will create the entry.  Or you could do it yourself.
> Thanks.
>
>
> 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.
> Phone: 732 828 6098; home page: http://NeilSloane.com
> Email: njasloane at gmail.com
>
>
> On Fri, Feb 24, 2017 at 2:18 PM, Peter Munn <techsubs at pearceneptune.co.uk>
> wrote:
>
>> It appears I sent the below message just before the named sequence was
>> deleted and recycled.  My comment was to suggest changing the sequence
>> definition - the result might even have been the author's intended
>> definition.  I think it would create a worthwhile variation on A282692,
>> whereas the sole added requirement of c_n != 0 seems not to have done.
>>
>> Peter Munn
>>
>> > Should A282693 specify also that c_0 != 0?
>> >
>> > Peter Munn
>> >
>> >> https://oeis.org/A282691, A282692, A282693 all need more terms!
>> >>
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>> >
>> >
>> >
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>>
>>
>>
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>
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