Abstract
We obtain the system of recurrence relations for rational approximations of the Euler constant generalizing the recurrence relations obtained earlier by Aptekarev with coauthors. The leading coefficient of the recurrence relations of this system is 1, which can be used to verify that the generated numbers are integers.
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References
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Original Russian Text © D. N. Tulyakov, 2009, published in Matematicheskie Zametki, 2009, Vol. 85, No. 5, pp. 782–787.
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Tulyakov, D.N. A system of recurrence relations for rational approximations of the Euler constant. Math Notes 85, 746–750 (2009). https://doi.org/10.1134/S0001434609050150
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DOI: https://doi.org/10.1134/S0001434609050150