## Thursday, April 26, 2007

### BBP-Type Formulas

The BBP (named after Bailey-Borwein-Plouffe) is a formula for calculating \pi discovered by Simon Plouffe in 1995,
\pi = \sum_(n=0)^\infty(\frac{4}{8n+1}-\frac{2}{8n+4}-\frac{1}{8n+5}-\frac{1}{8n+6})(1/(16))^n.

Amazingly, this formula is a digit-extraction algorithm for \pi in base 16.

Following the discovery of this and related formulas, similar formulas in other bases were investigated. This class of formulas are now known as BBP-type formulas.

#### 1 comment:

Jianhua Lv said...

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