Musical sequence

[Graeme McRae]

Yes, g(n)-1 is given by A059975, and is the sum of one less than each of its 
prime factors.  E.g. g(12)-1=4 because 12=2*2*3, and (2-1)+(2-1)+(3-1)=4

----- Original Message ----- 
From: "Henry Gould" <gould at math.wvu.edu>
To: "Jon Wild" <wild at music.mcgill.ca>
Cc: "David Wilson" <davidwwilson at comcast.net>; "Sequence Fans" 
<seqfan at ext.jussieu.fr>
Sent: Wednesday, January 18, 2006 12:38 PM
Subject: Re: Musical sequence


>  the function g(n) i defined as
> follows:  g(1) = 1;  g(p) =p for any prime p;   g(mn) = g(m) + g(n) -1 for
> arbitrary natural numbers n.
> ...
> An explicit formula is known for writing g(n ) in terms of the 
> fsactorization  of n.
> ...