New sequence converging towards the Euler-Mascheroni constant
Let gamma = 0.577215664 . . . denote the Euler-Mascheroni constant, and let the sequence w(n)(a, b, c, d) = Sigma(n)(k=1) 1/k - ln (n + a + b/n + c/n(2) + d/n(3)). The main aim of this paper is to determine the values a, b, c, d which provide the fastest sequence (w(n))(n >= 1) approximating the Euler-Mascheroni constant. (c) 2011 Elsevier Ltd. All rights reserved.
euler-mascheroni constant approximation speed of convergence