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A307029
Decimal expansion of the average distance of a point from a line that passes through another 2 points, when the 3 points are randomly selected within a unit-radius disk.
0
5, 2, 6, 9, 9, 8, 8, 1, 6, 7, 6, 0, 6, 5, 4, 6, 1, 8, 2, 0, 2, 0, 7, 0, 1, 9, 8, 4, 8, 5, 1, 3, 5, 7, 5, 7, 3, 9, 9, 6, 8, 7, 0, 3, 6, 2, 6, 3, 5, 1, 9, 8, 2, 7, 3, 9, 2, 5, 2, 6, 4, 6, 9, 3, 8, 2, 2, 6, 4, 2, 5, 8, 3, 6, 3, 5, 7, 6, 3, 3, 9, 1, 9, 8, 9, 7, 5
OFFSET
0,1
LINKS
Roger Pinkham, Problem 10585, The American Mathematical Monthly, Vol. 104, No. 5 (1997), pp. 456, solution, by Richard Holzsager, Vol. 106, No. 2 (1999), pp. 171-172.
FORMULA
Equals 8192/(1575*Pi^2).
EXAMPLE
0.526998816760654618202070198485135757399687036263519...
MATHEMATICA
RealDigits[8192/(1575*Pi^2), 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Mar 20 2019
STATUS
approved