OFFSET
0,1
LINKS
R. Pemantle, C. Schneider, When is 0.999... equal to 1?, arXiv:math/0511574 [math.CO], 2005.
FORMULA
Sum_{j >= 1, k >= 1} H(j) (H(k+1)-1)/(j k (k+1) (j+k)), where H(j) is the j-th harmonic number.
Equals -4 zeta(2) - 2 zeta(3) + 4 zeta(2) zeta(3) + 2 zeta(5).
EXAMPLE
0.99922283776383000876193574924756988603699551613617094420489843586276...
MATHEMATICA
RealDigits[-4 Zeta[2] - 2 Zeta[3] + 4 Zeta[2] Zeta[3] + 2 Zeta[5], 10,
103][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Jean-François Alcover, Jun 07 2016
STATUS
approved