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Miscellaneous Mathematical Constants

by Simon Plouffe

Terms

Contents

Info

1-6/(Pi^2)

1/log(2)

1/sqrt(2*Pi)

sum(1/2^(2^n)...

3/(Pi*Pi)

arctan(1/2)

Artin

Backhouse

Berstein

Catalan

Champernowne

Copeland-Erdos

cos(1)

cube root of 3

Chapter

Zeta(1,2)

(exp(2)-7)/2

exp(1/e)

Gompertz

exp(2)

exp(E)

exp(-1)**exp(-1)

exp(gamma)

exp(-exp(1))

exp(-gamma)

exp(-1)

exp(Pi)

exp(-Pi/2)

exp(Pi/4)

exp(Pi)-Pi

exp(Pi)/Pi**E

Feigenbaum

Fransen-Robinson

Euler

GAMMA(1/3)

GAMMA(1/4)

Euler**2

GAMMA(2/3)

GAMME**3

GAMMA(3/4)

gamma**(exp(1)

2**sqrt(2)

Gibbs

Gauss-Kuzmin-Wirsing

Golden Ratio

Golomb

Grothendieck

1/omega

Khinchin

Landau-Ramanujan

Lehmer

Gauss

Lengyel

Levy

log(10)

log10 of 2

log(2)

log(2)**2

log(2*Pi)

log(3)

log(4)/log(3)

-log(gamma)

log(log(2))

ln(0.5+0.5*SQRT(5))

log(Pi)

Madelung

GAMMA minimum

Bessel

omega

Parking

Pi/2*sqrt(3)

1/6*Pi*Sqrt(3)

Pi**exp(1)

Pi^2

Smallest Pisot-Vijayaraghavan

arctan(1/2)/Pi

product(1+1/n**3...

Ramanujan

Robbins

Salem

sin(1)

2**(1/4)

sqrt(3)/2

sum(1/binomial(2*n,n),...

sum(1/(n*binomial(2*n,n))...

sum(1/n^n,n=1...

Traveling Salesman

Tribonacci

twin primes

One-ninth constant

Varga

???

-Zeta(1,1/2)

-Zeta(-1/2)

Zeta(2)

Zeta(3)

Zeta(4)

Zeta(5)

Zeta(7)

Zeta(9)

Product[Cos[Pi/n]...

-int(sqrt(x)/log(1-x)...

 

 

Gompertz

-exp(1)*Ei(-1) to 1024 digits.

Also called Gompertz (1825) constant = int(exp(-x)/(1+x),x=0..infinity);

0.5963473623231940743410784993692793760741778601525487815734849104 8232721911487441747043049709361276034423703474842862368981207829 9529057196617369222665894024318513514368293763296254771187974025 2432302052117885737856177283652365137855948674253562181300812083 3784238448595980666983593217826489686047231099964510855581415383 5206162575008318874187017581518579310050611604355294567103401503 6663635029755807141964659205370602563858754392239763839327096186 3555954208141117245933865465249552771087829990958035092991791621 6389635691355069731255489979569371930717843870146967280775178170 0499106605448472254946244137072561379284901975499830037495298303 8426547682453111389665104606160569870635068347161893124491230526 4149918184343827745648804281946265691438208018677444460174831369 8959152675647833695487186740099259602213107786153781858902163226 2956642078512987325163348487588340256844389750747943861531479299 3932807784399881769589219826357740623772168228057169916069633006 6837801738278339632544426209799414229337385628490796642900584404

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