[seqfan] Re: A190257
T. D. Noe
noe at sspectra.com
Mon Feb 25 19:40:17 CET 2013
There was a missing /2.
Tony
At 1:12 PM -0500 2/25/13, Neil Sloane wrote:
>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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