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.
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
Examples
0.526998816760654618202070198485135757399687036263519...
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.
Programs
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Mathematica
RealDigits[8192/(1575*Pi^2), 10, 100][[1]]
Formula
Equals 8192/(1575*Pi^2).