[seqfan] Re: Which sequence is it?

[John W. Nicholson]

Maximilian,


2^3, 3^2, 5^1, 7^1, 11^0 <= x < 2^4, 3^3, 5^2, 7^2, 11^1

respectfully for x = 9 and 10. 

So, no. However, for each prime, your statement is true. In fact, that is part of the reason why I am checking on its sequence(s). 

I am not sure if it should considered one or many sequences. Richard pointed out in an email to me that: 

"The leftmost column is A000523, I guess, the next column A048766. The compound table is probably not in the OEIS." 

So, should a compound table be made or lots of sequences made and all referencing Chebyshev psi function? If compound table, then how to do that?
 
John W. Nicholson



>________________________________
> From: Maximilian Hasler <maximilian.hasler at gmail.com>
>To: reddwarf2956 at yahoo.com 
>Sent: Saturday, February 11, 2012 11:51 AM
>Subject: Re: [seqfan] Which sequence is it?
> 
>it's different for each x and each n
>
>Maximilian
>
>
>
>On Fri, Feb 10, 2012 at 6:27 PM, John W. Nicholson
><reddwarf2956 at yahoo.com> wrote:
>> Seqfans,
>>
>> The second Chebyshev function can be seen to be related to the first by writing it as:
>> Note: p_n is the n-th prime.
>>
>> psi(x) = sum(with p_n <= x, k*log(p_n)),
>>
>> where k is the unique integer such that p_n^k ≤ x but p_n^(k+1) > x.
>>
>> Which sequence, if any, holds the k value for each n?
>>
>> John W. Nicholson
>>
>> _______________________________________________
>>
>> Seqfan Mailing list - http://list.seqfan.eu/
>
>
>