OFFSET
0,1
COMMENTS
Coordinates are independent normally distributed random variables with mean 0 and variance 1.
LINKS
G. C. Greubel, Table of n, a(n) for n = 0..5000
Steven R. Finch, Random Triangles, January 21, 2010. [Cached copy, with permission of the author]
Eric Weisstein MathWorld, Gaussian Triangle Picking
FORMULA
rho = (p - Pi)/(4 - Pi), where p is A249491, the expected value of the product of two sides.
EXAMPLE
0.23255934654317823447309035975033389931043501543502...
MAPLE
Re(evalf((4*EllipticE(1/2) - sqrt(3)*EllipticK(I/sqrt(3)) - Pi)/(4 - Pi), 120)); # Vaclav Kotesovec, Apr 22 2015
MATHEMATICA
p = 4*EllipticE[1/4] - Sqrt[3]*EllipticK[-1/3]; rho = (p - Pi)/(4 - Pi); RealDigits[rho, 10, 103] // First
RealDigits[(3 EllipticE[8/9] - Pi)/(4 - Pi), 10, 103][[1]] (* Jan Mangaldan, Nov 26 2020 *)
CROSSREFS
KEYWORD
AUTHOR
Jean-François Alcover, Oct 30 2014
STATUS
approved