Page maison de Simon Plouffe

A formula for the n'th digit of $\pi$

and Pi in binary

The shape of b^n mod p

Time line

1983 :
1991 : First version of GFUN

1992 :

1992 : The n'th Tribonacci number is :

1992 :Master Thesis : Approximation de fonctions génératrices et quelques conjectures
1993 : A sequence related to that of Thue-Morse
1993 : Exact formulas for integer sequences

1995 :
1995 : Publication de : The encyclopedia of Integer Sequences
1995 : Ouverture du Inverse Symbolic Calculator

1996 : Algorithm for Pi in base 10

1996 : Computation of the 10000'th Bernoulli number (with Greg Fee)
1998 : Ouverture de l'Inverseur de Plouffe - Plouffe Inverter

1998 : Integer relations :

2001 : Fibonacci numbers and plants (and other radio and tv)

2001 : Computation of the  750000'th Bernoulli number

2006 : New formulas for Pi and 1/Pi :

2006 : Experiments modulo 1:

2010 :Interesting approximations

2011 : A formula for the mass ratio of the neutron/proton :

2011 : 148000 empirical formulas found in the OEIS database

2014 : Strange formula for some algebraic numbers:

2014 : A formula for the Zeta function :

2015 : A formula for the proton/electron mass ratio:

2016 : Formula for primes using irrational numbers

2016 : Portable version of the Plouffe Inverter : Version portable de l'Inverseur de Plouffe. 11.3 billion entries at 41 digits precision.
2022 : A formula for the n'th digit of Pi (decimal or binary)

Articles and other documents
articles
Recent articles on the ArXiv site
or the Vixra site
images of distribution modulo 1
Experiments modulo 1
Generating Functions of the OEIS
films from the OEIS database
Integer relations

Inspired formulas basés sur les suites de l'OEIS

old articles
constants
Lots of math books here
OEIS rational fractions
OEIS recurrences
Sequences to real numbers tables

Reverse of numbers : lots of graphics
k^n : what is the limit point ?
Bigger images herebinomials
Experiments in 1974-1981, original prints