OFFSET
0,1
COMMENTS
The average arc length between two randomly chosen points on a circle of radius r is r*A120669 corresponding to the average chord length r*A088538. (Each arc averaged is no larger than the semicircle.). This sequence is the ratio of that average arc length to the circumference (and is thus also the ratio of the corresponding sector's area to the circle's area).
EXAMPLE
0.219667909710056641181661197550...
MATHEMATICA
RealDigits[ArcCos[(1-(8/(Pi^2) ))]/(2Pi), 10, 120][[1]] (* Harvey P. Dale, Jun 17 2018 *)
PROG
(PARI) acos(1-8/Pi^2)/(2*Pi)
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Rick L. Shepherd, Jun 22 2006
STATUS
approved