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Gregory Number

المؤلف:  Conway, J. H. and Guy, R. K

المصدر:  "Gregory,s Numbers" In The Book of Numbers. New York: Springer-Verlag,

الجزء والصفحة:  p. 241-242

9-10-2019

1956

Gregory Number

A number

where  is an integer or rational number,  is the inverse tangent, and  is the inverse cotangent. Gregory numbers arise in the determination of Machin-like formulas. Every Gregory number  can be expressed uniquely as a linear combination of s where the s are Størmer numbers.

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REFERENCES:

Conway, J. H. and Guy, R. K. "Gregory's Numbers" In The Book of Numbers. New York: Springer-Verlag, pp. 241-242, 1996.