[seqfan] Re: A190257

Neil Sloane njasloane at gmail.com
Mon Feb 25 19:12:43 CET 2013


Harvey, I agree there is something wrong, and I will copy this to Clark, in
case he missed it.

Clark, your A190257 is described as the continued
fraction expansion of sqrt(3+sqrt(6)+sqrt(9+6*sqrt(6))).

It has the following terms:

2, 3, 1, 2, 5, 2, 1, 5, 95, 1, 1, 2, 1, 9, 3, 1, 1, 53, 1, 1, 1, 2, 3, 1,
7, 5, 1, 3, 8, 1, 5, 4, 1, 18, 1, 1, 6, 2, 25, 3, 5, 1, 5, 2, 4, 2, 1, 1,
43, 1, 1, 8, 1, 24, 3, 21, 1, 7, 4, 1, 13, 2, 1, 2, 1, 1811, 1, 3, 9, 1, 9,
2, 1, 1, 1, 2, 2, 23, 1, 1, 2, 1, 8, 6, 6, 2, 2, 2, 1, 18

When converted to decimal, I get

2.271281562422994142313058068759726855455849269102143432874908282659...

On the other hand, the decimal expansion of
sqrt(3+sqrt(6)+sqrt(9+6*sqrt(6))) is

3.21207718954655180208026758446344337133322737370001621...

How should A190257 be corrected? Which
is correct, the definition or the terms of the sequence?

Best regards

Neil


On Mon, Feb 25, 2013 at 12:40 PM, Harvey P. Dale <hpd at hpdale.org> wrote:

>         When I run the following Mma program, which I believe implements
> the definition of the above sequence, it produces terms that are quite
> different from those provided for the sequence:
>
>         ContinuedFraction[Sqrt[3+Sqrt[6]+Sqrt[9+6Sqrt[6]]],80]
>
> Best,
>
> Harvey
>
>
>
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>



-- 
Dear Friends, I have now retired from AT&T. New coordinates:

Neil J. A. Sloane, President, OEIS Foundation
11 South Adelaide Avenue, Highland Park, NJ 08904, USA
Phone: 732 828 6098; home page: http://NeilSloane.com
Email: njasloane at gmail.com


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