[seqfan] Re: A279000 and A279001

Neil Sloane njasloane at gmail.com
Thu Dec 15 20:32:25 CET 2016


Arie, I didn't fully understand your last message.

Are  A278996, A278997, A278998, and A278999 correct?

You say A279000 and A279001 are correct but are not explicitly mentioned in
the article.  In fact they were my guesses as to what J and K were, based
on the other examples in the paper and the lines:
P = {1, 3, 4, 5, 9},
Q = {2, 6, 7, 8, 10},
J = {0, 2, 3, 4, 8, 11, 13, 14, 15, 19, 21, 22, 24, 25, 26, 30, 33, 35, . .
.},
K = {1, 5, 6, 7, 9, 10, 12, 16, 17, 18, 20, 23, 27, 28, 29, 31, 32, 34, . .
.}.

How should the two new entries A279194 and A279195 be described in the
OEIS?  I don't like to say they are defined as the outputs of certain
Python programs!




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 Thu, Dec 15, 2016 at 1:01 PM, Arie Groeneveld <agroeneveld400 at gmail.com>
wrote:

> A279194 and A279195are outputs of the python program but differ from the
> next sequences.
> A279000 and A279001 are according the form in the title. But I don't see
> them mentioned in the paper or I missed them.
>
> AFAICS A278996, A278997, A278998, and A278999 are indeed outputs of
> Apwen.py for arguments 3 and 5 or generated by the forms in the titles.
>
> So the only question for me is: where are A279000 and A279001 mentioned in
> the arVix paper.
>
>
> Op 15-12-16 om 18:16 schreef Neil Sloane:
>
> There are now four sequences:
>> A279000 and A279001, which Lars Blomberg has corrected, and
>> A279194 and A279195, which are the sequences J and K on page 10
>> of the arXiv paper, but whose definitions are not clear to me.
>>
>> Arie Groeneveld, can you give me definitions for A279194 and A279195?
>>
>> And what about the earlier sequences that I added: A278996, A278997,
>> A278998, and A278999. Are they OK?  Now I am worried!
>>
>>
>> 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 Thu, Dec 15, 2016 at 11:00 AM, Arie Groeneveld <
>> agroeneveld400 at gmail.com>
>> wrote:
>>
>> Examining the article, this is what I read:
>>>
>>> The numbers mentioned in para 2.3 are the output of program Apwen.py for
>>> argument 11 (function F11(x)) and not of the form:
>>>
>>> (11*h+j)*11^k-1 for h,k in N and j in {1,3,4,5,9} or {2,6,7,8,10}
>>>
>>> One can check this by running the Python program.
>>>
>>> At preceding para's 2.1 and 2.2 alternative expressions (not only
>>> different in values 3 and 5but also in sets for j) are shown for
>>> functions
>>> F3(x) and F5(x), which are outputs of Apwen.py 3 and Apwen.py 5p. In para
>>> 2.3 no such expression is shown for the two sequences (is it not found?).
>>>
>>> So if one refers to the article for both sequences the titles are wrong.
>>>
>>>
>>> Thanks
>>>
>>>
>>>
>>> Op 15-12-16 om 08:33 schreef Lars Blomberg:
>>>
>>>
>>> The names seem to be wrong.
>>>>
>>>> Using the given formulas, the data is not reproduced and the two
>>>> sequences
>>>> are not each others complement.
>>>>
>>>> Refer to section 2.3 in the paper.
>>>>
>>>> Although not explicitly stated there, I guess that 5 in the formulas
>>>> should
>>>> be replaced by 11.
>>>>
>>>> Now A279000 and A279001 are complements of each other.
>>>>
>>>> But still, it seems that some values in the paper have been placed in
>>>> the
>>>> wrong sequence:
>>>>
>>>> A279001 contains 10 = (11*0+1)*11^1-1 that belongs to A279000 with
>>>> (h,j,k)=(0,1,1).
>>>>
>>>> A279000 contains 21 = (11*0+2)*11^1-1 that belongs to A279001 with
>>>> (h,j,k)=(0,2,1).
>>>>
>>>> A279001 contains 32 = (11*0+3)*11^1-1 that belongs to A279000 with
>>>> (h,j,k)=(0,3,1).
>>>>
>>>>
>>>> /Lars Blomberg
>>>>
>>>>
>>>> --
>>>> Seqfan Mailing list - http://list.seqfan.eu/
>>>>
>>>>
>>> --
>>> Seqfan Mailing list - http://list.seqfan.eu/
>>>
>>> --
>> Seqfan Mailing list - http://list.seqfan.eu/
>>
>
>
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> Seqfan Mailing list - http://list.seqfan.eu/
>


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