Sequences of weights

[reismann at free.fr]

Dear seqfans,

Just a remark and I stop...
I found these ref :
%D A006530 H. L. Montgomery, Ten Lectures on the Interface Between Analytic
Number Theory and Harmonic Analysis, Amer. Math. Soc., 1996, p. 210.
"Harmonic Analysis" : very interesting if we consider the following graphs as
spectrum :
http://reismann.free.fr/naturalDecomp.html
http://reismann.free.fr/primesDecomp.html

I will order the Montgomery's book but I am not sure to understand.

Best,

Rémi








Selon reismann at free.fr:

> Dear seqfans,
>
> Below the graphs ln(weight);ln(level) for :
> natural numbers ln(A020639);ln(A032742) (sieve of Eratosthenes, numbers of
> level
> 1 = primes) :
> http://reismann.free.fr/naturalDecomp.html
>
> primes numbers ln(A117078);ln(A117563) :
> http://reismann.free.fr/primesDecomp.html
>
> odd numbers weight= A090368 :
> http://reismann.free.fr/oddDecomp.html
>
> even numbers weight= A117871 :
> http://reismann.free.fr/evenDecomp.html
>
> and an interesting graph ln(A006530);ln(A052126) :
> http://reismann.free.fr/naturalLargestDecomp.html
>
> On the OEIS :
> Weight of natural numbers or least prime dividing n : A020639
> http://www.research.att.com/~njas/sequences/table?a=20639&fmt=5
> Weight of prime numbers : A117078
> http://www.research.att.com/~njas/sequences/table?a=117078&fmt=5
> and Largest prime dividing n (with a(1)=1) : A006530
> http://www.research.att.com/~njas/sequences/table?a=6530&fmt=5
>
> Good thoughts,
>
> Rémi