Abstract: The consists of three parts, (i) (ii) the constant and (iii) the Stieltjes continued
fraction The partial numerators for have been found by Char [1] and
asymptotic forms are needed, along with a conjecture of Stieltjes. Sequences of
approximants are set up for In another direction, we use a
second order continued fraction for the exponential function noting that so that a derivative of a continued
fraction is involved.
