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BBP Formula

Definition

The BBP (named after Bailey-Borwein-Plouffe) is a formula for calculating pi discovered by Simon Plouffe in 1995, π = sum_(n = 0)^∞(4/(8n + 1) - 2/(8n + 4) - 1/(8n + 5) - 1/(8n + 6))(1/16)^n. Amazingly, this formula is a digit-extraction algorithm for π 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.

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