On 07/07/2010 12:25 PM, Martin Rubey wrote:
I'm off for a lecture, and I accept the criticism.  A quick and
incomplete answer is the article:

http://arxiv.org/abs/math/0702086

Oho. So why don't you at least put a pointer to this paper into the documentation?

However,

Page 5:

guessADE [1,1,2,9/2,32/3,625/24,324/5,117649/720,131072/315,
4782969/4480]

returns

[[x^n]f(x) : -xf'(x) + f(x)^3 - f(x)^2 = 0, f(0) = 1, f'(0) = 1].

???

Nowhere is actually explained what that notation means. :-(
Is this a common notation? Can you please give a definition for that notation?

Let me guess... The sequence that is written after guessADE is obtained by

[coefficient(f(x), n) for f in F |
    -xf'(x) + f(x)^3 - f(x)^2 = 0 and f(0) = 1 and f'(0) = 1]

where F is the space of all (differentiable) functions? Oh, no, F is K[[x]], right?

Ralf

PS: You probably don't want me as a reviewer of that paper. ;-)

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