Continued fraction for e
The number e = 2,7182… can be calculated with a continued fraction as
e = [2; 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10, 1, 1, 12, 1, 1, ... ]
Explanation
There are many different continued fractions for the exponential function. The corresponding continued fraction for the number e is
so that
e = [2; 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, 1, 1, 10, 1, 1, 12, 1, 1, ... , 2n, 1, 1, ... ]