OFFSET
0,1
COMMENTS
This is the probability that a Gaussian triangle in 3 dimensions is obtuse.
Also the probability that the distance between 2 randomly selected points within a circle will be smaller than the radius. - Amiram Eldar, Mar 03 2019
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..5000
M. W. Crofton, Problem 1829, solved by J. J. Sylvester and by the proposer, Mathematical Questions with Their Solutions: From the "Educational Times", Vol. 4 (1866), pp. 77-78.
S. R. Finch, Random Triangles, Jan 21 2010. [Cached copy, with permission of the author]
Eric Weisstein's World of Mathematics, Gaussian Triangle Picking
EXAMPLE
0.58650332843365596286650512626527291895196013972501951040047548478172727...
MATHEMATICA
RealDigits[1 - (3*Sqrt[3])/(4*Pi), 10, 50][[1]] (* G. C. Greubel, Jun 02 2017 *)
PROG
(PARI) 1 - (3*sqrt(3))/(4*Pi) \\ G. C. Greubel, Jun 02 2017
CROSSREFS
KEYWORD
cons,nonn
AUTHOR
Mark Hudson (mrmarkhudson(AT)hotmail.com), Jan 13 2005
STATUS
approved