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CultureMATH
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On-Line Encyclopedia
of Integer Sequences

Séminaire MaMuX
Mathématiques, musique et relations avec d'autres disciplines

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Suites - Séries - Sequences

PAGES WEB

Jean-Paul Davalan

suites de Somos, d'Ulam ...

<http://perso.wanadoo.fr/jean-paul.davalan/mots/suites/index.html>

On-Line Encyclopedia of Integer Sequences (Look-Up)

<http://www.research.att.com/~njas/sequences/index.html>

The Fibonacci Rabbit sequence

<http://www.ee.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibrab.html#rab>

Continued Fraction Constants MathSoft

<http://www.mathsoft.com/asolve/constant/cntfrc/cntfrc.html>

Fractions Continues

<http://www.calvin.edu/~avtuyl52/confrac/index.html>

Table sum 1/n^a

<http://www.hoxie.org/math/expansion/power2.htm>

Convergence acceleration of series

(Click here for a Postscript version of this page.)

Numbers, constants and computation Xavier Gourdon and Pascal Sebah

This site is dedicated to mathematical, historical and algorithmic aspects of some classical mathematical constants (like p, e, the Euler constant g, z(3), ¼). A few results on prime numbers are added. Easy and fast programs are also included and can be downloaded.

<http://numbers.computation.free.fr/Constants/Miscellaneous/seriesacceleration.html>

Mathematics Doctor Matt

Matthew M. Conroy

<http://www.madandmoonly.com/doctormatt/mathematics/mathematics.htm>

PROJETS - PROJECTS

NumbersWithNames

Simon Colton

NumbersWithNames is a program for exploring some of the sequences in the Encylopedia of Integer Sequences

<http://www.machine-creativity.com/programs/nwn/>

PROBLÈMES - PROBLEMS

Goodstein Sequence

Starting this procedure at an integer n gives the Goodstein sequence {G_k(n)}. Amazingly, despite the apparent rapid increase in the terms of the sequence, Goodstein's theorem states that G_k(n) is 0 for any n and any sufficiently large k.

<http://mathworld.wolfram.com/GoodsteinSequence.html>

Friedman numbers

Problem of the Month (August 2000), Math Magic

<http://www.stetson.edu/~efriedma/mathmagic/0800.html>

EXEMPLES - EXAMPLES

An Interesting Family of Iterated Sequences

Dr. Paul A. Loomis homepage

<http://facstaff.bloomu.edu/ploomis/sequences.html>

Suites numériques

Jean-Paul Davalan

<http://perso.wanadoo.fr/jean-paul.davalan/mots/suites/index.html>

JAVA

Applets Java Edugraphe

Joël Amblard

Toutes ces applets ont été réalisées automatiquement avec le grapheur Edugraphe

Edugraphe est un grapheur disponible gratuitement pour tous les systèmes (macosx, linux, windows ...) et distribué sous licence GPL. Convivial et simple d'utilisation, il est particulièrement adapté aux programmes de mathématiques du secondaire et permet de créer des applets java directement exploitables en cours.

<http://perso.wanadoo.fr/joel.amblard/applets/index.html>

JAVASCRIPT

Suites numériques linéaires à coefficients constants

Jean-Paul Davalan

Suites de Fibonacci, de Lucas, de Perrin, de Padovan. Nombre d'or, nombre plastique.

<http://perso.wanadoo.fr/jean-paul.davalan/mots/suites/edf/index.html>

Suites de Somos

Jean-Paul Davalan

<http://perso.wanadoo.fr/jean-paul.davalan/mots/suites/somos/index.html>

THÈSES - THESIS

Topics in the theory of uniqueness of trigonometrical series

Field medalist Paul J. Cohen's 1958 Ph.D. thesis

This work was previously only available at the University of Chicago library. Though Paul Cohen is best known for his groundbreaking work in set theory, he also had many important contributions in harmonic analysis starting with his thesis which is still relevant to current research in this area. I have included a brief summary and bibliography of subsequent work in this area

edited by Ilan Vardi

<http://www.lix.polytechnique.fr/Labo/Ilan.Vardi/cohen.ps>

Suites récurrentes lin´eaires et séries formelles en plusieurs variables

Abdelkader Necer Limoges 1998

<http://www.unilim.fr/laco/theses/1998/T1998_05.pdf>

SUJETS - SUBJECTS

Du Triangle de Pascal aux S´eries Formelles

Farouk Boucekkine CultureMATHAccompagnement et Culture Mathématiques

<http://www.dma.ens.fr/culturemath/maths/pdf/combi/seriesFormelles.pdf>

DOCUMENTS - PAPERS

Hakmem -- Continued Fractions -- Draft, not yet proofed

<http://www.inwap.com/pdp10/hbaker/hakmem/cf.html>

On the periods of generalized Fibonacci recurrences

R. P. Brent

We give a simple condition for a linear recurrence (mod 2w) of degree r to have the maximal possible period 2w-1(2r-1). It follows that the period is maximal in the cases of interest for pseudo-random number generation, i.e. for 3-term linear recurrences defined by trinomials which are primitive (mod 2) and of degree r > 2. We consider the enumeration of certain exceptional polynomials which do not give maximal period, and list all such polynomials of degree less than 15.

<http://web.comlab.ox.ac.uk/oucl/work/richard.brent/pub/pub133.html>

Toby Walsh

SFI Research Professor Cork Constraint Computation Centre University Ireland

Automatic Invention of Integer Sequences idem

<http://4c.ucc.ie/~tw/>

TUTORIELS - TUTORIALS

Cours Heuristique 97

Gilles HUNAULT

<http://www.info.univ-angers.fr/pub/gh/cours_gH/euris.html>

Probability and Statistics

<http://www.seanet.com/~ksbrown/iprobabi.htm>

Sequences Realized by Oligomorphic Permutation Groups

Peter J. Cameron

<http://www.research.att.com/~njas/sequences/JIS/VOL3/groups.html>

BIOGRAPHIES

Why Delannoy Numbers?

Cyril Banderier and Sylviane Schwer

<http://www-lipn.univ-paris13.fr/~banderier/Papers/delannoy2004.ps>

ARTS

Per Nørgård

By Jørgen Mortensen

Per Nørgård discovered his infinity series in 1959, and throughout the years it has had a tremendous influence on his compositions.

<http://www.pernoergaard.dk/eng/strukturer/uendelig/uintro.html>

LIENS - LINKS

Mathématiques - Page de liens

<liens_math.html>

Actualités

Advertising : If you see a reference in one of the files that is not linked, and you know of a link address to the appropriate document, please send me mail, and I will include the link in the document. Thanks very much in advance.
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Copyright © 1999-2006 Jean-Paul Davalan - Reproduction interdite.

Suites - Séries - Sequences

PAGES WEB

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PROBLÈMES - PROBLEMS

EXEMPLES - EXAMPLES

JAVA

JAVASCRIPT

THÈSES - THESIS

SUJETS - SUBJECTS

DOCUMENTS - PAPERS

TUTORIELS - TUTORIALS

BIOGRAPHIES

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Actualités