[seqfan] Re: definition of A002848

franktaw at netscape.net franktaw at netscape.net
Tue Feb 9 08:03:04 CET 2010

Nothing so straightforward is going to work, because the sequence terms 
as they exist are not monotonic.  The first reference, "R. K. Guy, 
``Sedlacek's Conjecture on Disjoint Solutions of x+y= z,'' in Proc. 
Conf. Number Theory. Pullman, WA, 1971, pp. 221-223.", looks to me like 
the place to start; unfortunately, I don't have access to this.

Franklin T. Adams-Watters

-----Original Message-----
From: Rainer Rosenthal <r.rosenthal at web.de>

Max Alekseyev wrote:
> Does anybody understand the definition of A002848 and how it produces
> the listed terms?

Just a guess, to be verified:  "number of solutions of x+y+z=n"

a(3)=1 solutions: 1+1+1=3
a(4)=1 solutions: 1+1+2=4
a(5)=2 solutions: 1+1+3=5 and 1+2+2=5
a(6)=2 solutions: 1+1+4=6 and 1+2+3=6

oops ... there is 2+2+2=6 as well.
What a pity :-(

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