[seqfan] Re: Same Sequences?

Maximilian Hasler maximilian.hasler at gmail.com
Sun Apr 12 19:11:13 CEST 2009


On Sun, Apr 12, 2009 at 11:48 AM, Leroy Quet <q1qq2qqq3qqqq at yahoo.com> wrote:
>
> Are A117950 (n^3 +3) and A132410 the same sequence
> (if A117950 had started at a(0) instead)?
>
> Maybe they should be merged, if they are the same.

Yes, I agree ; the proof given there is correct.

The %N A132410 could be a comment in A117950
but I don't know if it's worth it :
I'm not sure if I understand correctly whether this was the intended
meaning of Richard's comment, but you could give an infinity of
Polynomials of the form
 P = (X-3)Q(X)^2
for which the solutions to P(x)=Y^2
are x=n^2+3.

However, A117950 should start at offset n=0 with a(0)=3 added before a(1)=4
to avoid another dupe submission.

So Richard's o.g.f. given for A132410 would be OK for A117950.

But there are 3 xref's to A132410, namely in
A002522
A028872
and
A133475

They should be changed to A117950 if the other one is deleted.
M




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