Abstract
Let γ=0.577215664… denote the Euler–Mascheroni constant, and let the sequence wn(a,b,c,d)=∑k=1n1k−ln(n+a+bn+cn2+dn3). The main aim of this paper is to determine the values a,b,c,d which provide the fastest sequence (wn)n≥1 approximating the Euler–Mascheroni constant.
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