From Wikipedia, the free encyclopedia
In
mathematics, a Gregory number, named after
James Gregory, is a
real number of the form:
[1]
where x is any rational number greater or equal to 1. Considering the
power series expansion for
arctangent, we have
Setting x = 1 gives the well-known
Leibniz formula for pi. Thus, in particular,
is a Gregory number.
Properties
See also
References