Pi algorithms

Machin-like formula

In mathematics, Machin-like formulae are a popular technique for computing π to a large number of digits. They are generalizations of John Machin's formula from 1706: which he used to compute π to 100 decimal places. Machin-like formulas have the form where is a positive integer, are signed non-zero integers, and and are positive integers such that . These formulas are used in conjunction with the Taylor series expansion for arctangent: (Wikipedia).

Machin-like formula
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