OFFSET
0,1
COMMENTS
The average distance between the center of a unit square to a point on its perimeter uniformly chosen by a random direction from the center.
If the point is uniformly chosen at random on the perimeter, then the average is (sqrt(2) + arcsinh(1))/4 (A345653).
LINKS
Mark Dalthorp, Escape the Square, Mathematics Magazine, Vol. 87, No. 1 (2014), p. 68.
EXAMPLE
0.56109985233918012713571958893523969280887242462809...
MATHEMATICA
RealDigits[2*ArcSinh[1]/Pi, 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Jun 23 2022
STATUS
approved