[seqfan] Re: Integer Sequence Analysis in Mathematica 7

[zak seidov]

    * Systematic recognition of closed forms from lists of integer sequence terms. »
    * Recognition of general holonomic sequences with a variety of transformations.
    * Reconstruction of sequence term functions, given as Mathematica pure functions.
    * Reconstruction of symbolic generating functions. »
    * Algorithmic coverage of a large fraction of sequences that occur in practice from OEIS and other databases.
    * Highly efficient linear recurrence generation and recognition. »
    * Systematic recognition of sequences from linear recurrences with polynomial coefficients. »
    * Efficient iterative solvers for ordinary and partial difference equations, and difference-algebraic equations. »
    * Symbolic computation of generating functions from sequence term formulas.
    * Symbolic computation of the nth term in series. »
    * Multivariate generating functions and sequence formulas. »
    * Dirichlet transform and convolution. »
    * Integer sequence analysis for both numerical and symbolic data elements.
    * Full integration with Mathematica discrete and continuous calculus functionalities.


--- On Wed, 11/19/08, Hans Havermann <pxp at rogers.com> wrote:

> From: Hans Havermann <pxp at rogers.com>
> Subject: [seqfan]  Integer Sequence Analysis in Mathematica 7
> To: seqfan at seqfan.eu
> Date: Wednesday, November 19, 2008, 4:51 PM
> This might be of interest to sequence fans:
> 
> "Mathematica 7 introduces a new level of systematic
> integer sequence  
> analysis, including sequence generation, transforms and
> sequence  
> recognition. Recent algorithmic advances at Wolfram
> Research for the  
> first time make it possible to take lists of sequence
> elements and  
> systematically find large classes of closed-form
> Mathematica formulas  
> for them — allowing robust integer sequence recognition
> to become a  
> routine part of programmatic discovery in experimental
> mathematics."
> 
> http://www.wolfram.com/products/mathematica/newin7/content/IntegerSequenceAnalysis/