[seqfan] Re: Integer Sequence Analysis in Mathematica 7
Maximilian Hasler
maximilian.hasler at gmail.com
Sat Nov 22 02:59:38 CET 2008
[sorry, please ignore the beginning of my last reply, I didn't notice
that PURRS input were not the 30 values but the recurrent equation...]
M.
On Fri, Nov 21, 2008 at 9:54 PM, Maximilian Hasler
<maximilian.hasler at gmail.com> wrote:
> Well, for 30 given values there's always a polynomial of degree 29
> that fits *exactly* through these points, but in general not through
> the 31st point...
(...)
> Well, actually A001609(n) is the most concise and most informative way
> to code that function.
(...)
>> http://www.cs.unipr.it/purrs/ yields the following:
>>
>> Exact solution for x(n) = x(-1+n)+x(-3+n)
>> x(n) = 1/2*(I*(29/54+1/18*sqrt(93))^(1/3)*sqrt(3)-I*sqrt(3)*(29/54-1/18*sqrt(93))^
>> ...*(29/54-1/18*sqrt(93))^(1/3))^n*x(0)
>> for each n >= 0
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