The MRB constant is the upper limit point of the sequence of partial sums defined by s(n)=
.
Each summand is a real number. However, the function f(n)=
is a complex-valued function of a real number, n. This blog is a break in progression of the MRB constant series for the purpose of looking at the "complex" nature of this function. The function can be written in exponential form,
.
With this first post I would like to demonstrate, in a Maple document, what happens to f [-2,0). When put together (-1,0) these graphs seem to be describing a hyperbolic spiral. I'm not sure if I'll have more to say, or not. As always, others are welcome to join in.
Download f6142010.mw