OFFSET
0,1
LINKS
Eric Weisstein's MathWorld, Trilogarithm
FORMULA
20 - 8*zeta(2) - 10*zeta(3) + (15/2)*zeta(4) - 2*zeta(2)*zeta(3) + zeta(3)^2.
EXAMPLE
0.4277147842908240881128389716127945324286...
MATHEMATICA
RealDigits[20 - 8*Zeta[2] - 10*Zeta[3] + (15/2)*Zeta[4] - 2*Zeta[2]*Zeta[3] + Zeta[3]^2, 10, 102] // First
NIntegrate[PolyLog[3, x]^2, {x, 0, 1}, WorkingPrecision->102] (* Vaclav Kotesovec, Nov 03 2014 *)
PROG
(PARI) z2=zeta(2); z3=zeta(3); 20 - 8*z2 - 10*z3 + 15*zeta(4)/2 - 2*z2*z3 + z3^2 \\ Charles R Greathouse IV, Apr 20 2016
(Python)
from mpmath import mp, zeta
mp.dps=103
z2=zeta(2)
z3=zeta(3)
print([int(z) for z in list(str(20 - 8*z2 - 10*z3 + 15*zeta(4)/2 - 2*z2*z3 + z3**2)[2:-1])]) # Indranil Ghosh, Jul 03 2017
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Nov 03 2014
STATUS
approved