Robert P. Munafo, 2008 Feb 20.
(soler at mpi-sb mpg de)
In personal correspondence regarding the area of the Mandelbrot Set, he pointed out the possibility that the area might be precisely sqrt(6 pi - 1) - e. He found the value with a program he had written for the specific purpose of finding formulas for numbers. I later wrote my own such program and found other formulas of roughly equal complexity that came just as close to the known area values.
From the Mandelbrot Set Glossary and Encyclopedia, by Robert Munafo, (c) 1987-2017. Mu-ency index
This page was written in the "embarrassingly readable" markup language RHTF, and was last updated on 2017 Feb 02. s.11