A sequence S describing its partial sums

[franktaw at netscape.net]

Max,

You misread him.  He didn't say

 a(n) = sum_{k=1}^n a(k)

but instead

a(a(n)) = sum_{k=1}^n a(k)

Franklin T. Adams-Watters


-----Original Message-----
From: Max A. <maxale at gmail.com>

On 8/13/06, Eric Angelini <Eric.Angelini at kntv.be> wrote: 
 
> based on an equivalent idea and building rule as A121053, 
> here is a sequence I would appreciate someone to check, 
> define properly in good mathematical english, and submit 
> to the OEIS -- if of interest (I'll be back at my PC in 
> two weeks time -- and will do it myself if no one moves ;-) 
> 
> a(n) says : "At position a(n) in S you will find the sum 
> of all terms from a(1) to a(n)" 
 
Should it be "...from a(1) to a(n-1)"? Otherwise, it may be impossible 
to determine a(n). 
 
...
 
There is a discrepancy. From your definition: a(1)=a(1) but not 
a(3)=a(1)+a(2)+a(3). 
 
...
 
Max