and in a mirror
Benoit Cloitre, still very creative, is pursuing his chronicles about resemblance between famous constants, after those between et .
Let and then . Thus, if we write down
then we obtain an inverse Brounker-like continued fraction.
Let and then . The equivalent continued fraction is
Proof for Pi
It is easy to see by induction that and we recognise the
Let . We easily see that for ,
Checking under the software Pari-GP