OFFSET
0,2
LINKS
Steven R. Finch, Errata and Addenda to Mathematical Constants, arXiv:2001.00578 [math.HO], 2020, p. 29.
Michael Lugo, The number of cycles of specified normalized length in permutations, arXiv:0909.2909 [math.CO] 2009.
FORMULA
-Pi^2/12 + (1/2)*log(1 + sqrt(e))^2 + Li_2(1/(1 + sqrt(e))).
EXAMPLE
0.0727887386608213733667186633181914296889295494487...
MATHEMATICA
xi = 1/(1 + Sqrt[E]); P2[x_] := -Pi^2/12 + (1/2)*Log[x]^2 + PolyLog[2, x]; Join[{0}, RealDigits[P2[xi], 10, 100] // First]
PROG
(Python)
from mpmath import *
mp.dps=101
xi=1/(1 + sqrt(e))
C = -pi**2/12 + (1/2)*log(xi)**2 + polylog(2, xi)
print([int(n) for n in list(str(C)[2:-1])]) # Indranil Ghosh, Jul 03 2017
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Oct 14 2014
STATUS
approved