1,1

Sometimes called Archimedes's constant.

P. Beckmann, A History of Pi, Golem Press, Boulder, CO, 1977.

J.-P. Delahaye, Le fascinant nombre pi, Pour la Science, Paris 1997.

P. Eyard and J.-P. Lafon, The Number Pi, Amer. Math. Soc., 2004.

Steven R. Finch, Mathematical Constants, Encyclopedia of Mathematics and its Applications, vol. 94, Cambridge University Press, Section 1.4.

Le Petit Archimede, Special Issue On Pi, Supplement to No. 64-5, May 1980 ADCS Amiens.

D. Shanks and J. W. Wrench. Jr., Calculation of pi to 100,000 decimals. Math. Comp. 16 1962 76-99.

J. Arndt & C. Haenel, Pi Unleashed, Springer NY 2001.

J. Sondow, A faster product for Pi and a new integral for ln Pi/2, Amer. Math. Monthly 112 (2005) 729-734.

Clifford A. Pickover, A Passion for Mathematics, Wiley, 2005; see p. 31.

N. J. A. Sloane, Table of 10000 digits of Pi labeled from 0 to 9999 [based on the Plouffe link below]

Dave Andersen, Pi-Search Page

Anonymous, A million digits of Pi

Anonymous, Liste de quelques milliers de decimales du nombre de pi

D. H. Bailey, On Kanada's computation of 1.24 trillion digits of Pi

D. H. Bailey and J. M. Borwein, Experimental Mathematics: Examples, Methods and Implications

J. M. Borwein, Talking about Pi

J. M. Borwein and M. Macklem, The (Digital) Life of Pi

J. Britton, Mnemonics For The Number Pi

L. Euler, On the sums of series of reciprocals

L. Euler, De summis serierum reciprocarum, E41.

Eureka, Tout pi or not tout pi

Ph. Flajolet and I. Vardi, Zeta function expansions of some classical constants

GJ, 10 million digits of Pi

X. Gourdon, Pi to 16000 decimals

Xavier Gourdon, A new algorithm for computing Pi in base 10

B. Gourevitch, L'univers de Pi

L. Grebelius, Approximation of Pi: First 1000000 digits

H. Havermann, Simple Continued Fraction for Pi

M. D. Huberty et al., 100000 Digits of Pi

ICON Project, Pi to 50000 places

P. Johns, 120000 Digits of Pi

Kanada Laboratory, 1.24 trillion digits of Pi

Yasumasa Kanada and Daisuke Takahashi, 206 billion digits of Pi

J. Moyer, First 10000 digits of pi

NERSC, Search Pi

Steve Pagliarulo, Stu's pi page ...

I. Peterson, A Passion for Pi

G. M. Phillips, Table of contents of "Pi: A source Book"

S. Plouffe, Plouffe's Inverter, 10000 digits of Pi

D. Pothet, Chronologie du calcul des decimales de pi

S. Ramanujan, Modular equations and approximations to \pi, Quart. J. Math. 45 (1914), 350-372.

H. Ricardo, Review of "The Number Pi" by P. Eymard & J.-P. Lafon

Daniel Sedory, The Pi Pages

Sizes, pi

D. Surendran, Can I have a small container of coffee?

Eric Weisstein's World of Mathematics, Link to a section of The World of Mathematics.

Wikipedia, Pi

A. Sofo, Pi and some other constants, J. Inequ. Pure Appl. Math. 6 (2005) vol. 5, #138

J. P. Chabert, Pi up to 2000 decimals

J. Guillera and J. Sondow, Double integrals and infinite products for some classical constants via analytic continuations of Lerch's transcendent

J. Sondow,A faster product for Pi and a new integral for ln Pi/2

E. S. Croot, Pade Approximations and the Transcendence of pi

3.1415926535897932384626433832795028841971693993751058209749445923078164062\

862089986280348253421170679821480865132823066470938446095505822317253594081\

284811174502841027019385211055596446229489549303820...

RealDigits[ N[ Pi, 105]] [[1]]

(MACSYMA) py(x) := if equal(6, 6+x^2) then 2*x else (py(x:x/3), 3*%%-4*(%%-x)^3); py(3.); py(dfloat(%)); block([bfprecision:35], py(bfloat(%))) /* R. W. Gosper, Sep 09 2002 */

Pi in various bases: A004601 to A004608, A000796, A068436 to A068440, A062964. Cf. A007514.

Cf. A092798, A122214.

Adjacent sequences: A000793 A000794 A000795 this_sequence A000797 A000798 A000799

Sequence in context: A013705 A087478 A112602 this_sequence A114609 A068089 A068079

cons,nonn,nice,core

njas

Additional comments from William Rex Marshall (w.r.marshall(AT)actrix.co.nz), Apr 20, 2001