BBP-type formulas -- an elementary approach
Abstract
We provide a simple way of searching for formulas of the Bailey--Borwein--Plouffe type together with an algorithm and an implementation in sage. Aside from rediscovering some already known formulas, the method has been used in the discovery of a new BBP-type formula for 3π. In addition, the implementation is very flexible and allows us to look for BBP-type formulas to irrational bases but with integer coefficients. As an example of this, searching in various Pisot bases, we have discovered a formula for π in base 1 + 3, along with additional formulas.
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