Sequences that converge quickly to a generalized Euler constant

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Abstract

The purpose of this paper is to give some sequences that converge quickly to a generalized Euler constant, i.e. the limit of the sequence (1as+1(a+1)s++1(a+n1)s11s((a+n1)1sa1s))nN, where a(0,+) and s(0,1).

Keywords

Sequence
Convergence
Generalized Euler constant
Ioachimescu’s constant
Bernoulli number
Euler–Maclaurin summation formula

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