|
|
A324559
|
|
Decimal expansion of the probability that the length of a chord drawn through 2 points taken at random within a circle on each side of a given diameter will be less than the radius.
|
|
1
|
|
|
3, 4, 1, 8, 0, 0, 5, 0, 8, 4, 0, 5, 4, 4, 4, 7, 0, 1, 2, 9, 7, 8, 0, 5, 2, 1, 4, 0, 3, 5, 4, 1, 1, 5, 1, 7, 0, 9, 4, 5, 0, 2, 3, 0, 9, 4, 1, 7, 6, 2, 9, 4, 1, 8, 2, 7, 1, 9, 6, 9, 2, 7, 6, 8, 4, 2, 6, 0, 0, 5, 2, 0, 4, 1, 2, 3, 5, 9, 6, 0, 0, 8, 2, 6, 1, 1, 1
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
-2,1
|
|
LINKS
|
J. J. Sylvester, Problem 1849, solved by Stephen Watson, Mathematical Questions with Their Solutions: From the "Educational Times", Vol. 8 (1868), pp. 92-93.
|
|
FORMULA
|
Equals 13/144 - 13*sqrt(3)/(48*Pi) + 3*(3 + log(4/3))/(16*Pi^2).
|
|
EXAMPLE
|
0.0034180050840544470129780521403541151709450230941762...
|
|
MATHEMATICA
|
RealDigits[13/144-13*Sqrt[3]/(48*Pi)+3*(3+Log[4/3])/(16*Pi^2), 10, 100][[1]]
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|