MaplePrimes - answers and comments on Question, Maple and Integer sequence recognition

Reference

hirnyk — Wed, 01 Dec 2010 23:36:17 Z

Look also here . It is too long to be cited .

guess and FPS

Robert Israel — Thu, 02 Dec 2010 01:54:22 Z

If gfun[guessgf] can find the generating function, convert/FPS may be able to find an explicit formula for the coefficients. For example:

> L := [6, 24,60, 120, 210, 336]:
g:= gfun[guessgf](L,t, [ogf]);
convert(g[1],FPS,t);

> factor(%);

brute ...

Axel Vogt — Thu, 02 Dec 2010 02:07:15 Z

A 'brute' way would be: find the polynomial given by the points and Maple can do that (i.e. it depends on what is intended).

prediction

mhrdmaple — Thu, 02 Dec 2010 06:35:59 Z

Hi,

Thanks for your reply,

I am very new to maple, could you tell me how I can see the next terms of the sequence; I am not interested in the mathematics behind it, I just need a command that given a finite sequence predict the next terms; whatever method it uses...

next term

Robert Israel — Thu, 02 Dec 2010 11:07:59 Z

@mhrdmaple : with L as above:

> L := [6, 24, 60, 120, 210];
   g:= gfun[guessgf](L,t, [ogf]);
    coeftayl(g[1],t,nops(L));

336

A simple function only

mhrdmaple — Thu, 02 Dec 2010 06:29:46 Z

Hi,

Thanks for the reply, What I am looking for, is a command or method in Maple, that given first few terms of a sequnce, predict the next terms...

I know that there are a lot of functions which satisfy a finite list of numbers; but I look for something like "FindSequenceFunction" in Mathematica that identify and predict the "simplest" function generating the sequence,, ("simple" can be freely defined)

//Mehrdad.