[seqfan] Re: A214089

[Jonathan Stauduhar]

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>  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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>
>