[seqfan] Re: FYI - conjecture: n=x^2+T_y+F_m

[Alexander Povolotsky]

>These counterexamples belong to A115171.

A115171 is seems tobe  restricted to positive only Fibonacci numbers
while this particular conjecture (it appears to me) was allowing any
(negative values included)  Fibonacci numbers.
That is why Giovanni Resta (if I understand his message correctly)
only so far found just one counterexample against this particular
conjecture.

Alex
============================================
On Tue, Dec 23, 2008 at 1:11 AM, Max Alekseyev <maxale at gmail.com> wrote:
> These counterexamples belong to A115171.
> Max
>
> On Mon, Dec 22, 2008 at 12:07 PM, Giovanni Resta <g.resta at iit.cnr.it> wrote:
>> Alexander Povolotsky wrote:
>>> FYI - Perhaps someone might be interested to generate the sequence,
>>> based on the number of ways to write n in the form x^2+T_y+F_m
>>> with x,y,m non-negative integers - per below.
>>
>> I sent a message this morning to the number theory list where this
>> message appeared, but it did not showed up.
>> I have found a number which is not representable in that way,
>> namely 3,970,902.  In a couple of hours, I've checked up to 20,000,000
>> without finding other "impossible" numbers. Since I'm going away for
>> holidays I'had  to stop my little program there.
>> bye,
>> Giovanni