[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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