Champernowne constant continued fraction

The Champernowne constant \(C_{10}\) is a real number whose decimal expansion is created by concatenating the decimal expansions of the positive integers:


 * C10 = 0.12345678910111213141516171819202122232425...

K. Mahler showed in 1961 that it is transcendental.

The continued fraction of the Champernowne constant turns out to be an unlikely source of large numbers, containing various spikes. It begins 0; 8, 9, 1, 149083, 1, 1, 1, 4, 1, 1, 1, 3, 4, 1, 1, 1, 15, and the term in position 19 has 166 digits.