OFFSET
0,2
REFERENCES
L. B. W. Jolley, Summation of series, Dover Publications Inc. (New York), 1961, p. 46 (series n. 249).
FORMULA
Equals Sum_{k >= 1} 1/((2*k)*(2*k+1)*(2*k+2)).
Equals Integral_{x = 0..1} Integral_{y = 0..1} (x*y)^2/(x + y)^2 dy dx. - Peter Bala, Dec 12 2022
EXAMPLE
0.0568528194400546905827678785418234319244998656397447458793199905066...
1/(2*3*4) + 1/(4*5*6) + 1/(6*7*8) + 1/(8*9*10) + 1/(10*11*12) + ...
MATHEMATICA
RealDigits[3/4 - Log[2], 10, 100, -1][[1]]
PROG
(PARI) 3/4 - log(2) \\ Charles R Greathouse IV, Jul 14 2014
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Bruno Berselli, Mar 16 2014
STATUS
approved