[seqfan] Re: A214089

[Neil Sloane]

I think the definition of A214723 is perfect!

On Thu, Aug 2, 2012 at 3:11 PM, Jonathan Stauduhar <jstdhr at gmail.com> wrote:

> I have submitted my sequence - thank you.
>
> If you have the time, would you mind taking a look at A214723 <
> https://oeis.org/A214723>.  I am dissatisfied with the current
> description (I think the language is unclear), but I am unwilling to
> "haggle" further.
>
> Thanks much,
>
> Jonathan
>
>
> On 8/2/2012 10:14 AM, Neil Sloane wrote:
>
>> The sequence derived from A118478 now has an entry of its own - it is
>> A215021. It is certainly different from your sequence, which should
>> probably also have its own entry - I suggest you submit it!
>> Neil
>>
>> On Tue, Jul 31, 2012 at 2:03 PM, Jonathan Stauduhar<jstdhr at gmail.com>**
>> wrote:
>>
>>  Howdy,
>>>
>>> I observed that for the first 14 terms in A214089<
>>> https://oeis.org/A214089>  , the following holds:
>>>
>>>    p^2 - 1 / n# = 4x.
>>>
>>> In other words, p^2 - 1 / n# is congruent to 0 MOD 4.
>>>
>>> Subsequent to this observation , two new terms were added and the above
>>> holds true for those as well.
>>>
>>> Solving for x gives the sequence {1, 1, 1, 1, 19, 17, 1, 2567, 3350,
>>> 128928, 3706896, 1290179, 100170428, 39080794, 61998759572, 7833495265}.
>>>
>>> Can someone far more familiar with prime numbers explain why this may or
>>> may not be true for all a(n)?  I would like to add a comment to the
>>> sequence noting this observation, but I am unsure whether it is in fact
>>> true for all a(n).
>>>
>>>   I don't know if this is relevant, but I found a comment, by Robert G.
>>> Wilson, in A118478<https://oeis.org/**A118478 <https://oeis.org/A118478>>
>>>  which defines another
>>> sequence whose first seven terms are {1, 1, 1, 1, 19, 17, 1} and also has
>>> 39080794 as its 14th term.
>>>
>>> -Jonathan
>>>
>>> ______________________________****_________________
>>>
>>>
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>>>
>>>
>>
>>
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>
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Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
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