A generalisation of Ioachimescus constant

摘要

In the problem proposed by A. G. Ioachimescu in 1895 [1], it is asked tobe shown that the sequence (Sn)nEN, defined by Sn = 1 + -j-i +... +-L 2Vii,for each n E N, is convergent and its limit lies between -2 and -1.