0,1

This is the continued fraction expansion of c = 22/Pi - 7.

Table of n, a(n) for n=0..95.

J. W. Knoderer, Continuous Fractions converging on the value of pi, Mazes.com, 2016

J. W. Knoderer, Directions: How to calculate continuous fraction for Pi, Mazes.com, 2016.

J. W. Knoderer, Continuous Fraction for pi, 33 denominators

The resulting successive approximations to Pi are:

Fraction 0: 22/7

Fraction 1: 22/(7+1/354)

Fraction 2: 22/(7+1/(354+1/1))

Fraction 3: 22/(7+1/(354+1/(1+1/12)))

To see fractions 4 to 35, see the links.

with(numtheory); Digits:=200:

c:=22/Pi - 7;

convert(evalf(c), confrac); # N. J. A. Sloane, Apr 05 2016

Sequence in context: A282998 A213470 A068684 * A251127 A176197 A157668

Adjacent sequences: A270779 A270780 A270781 * A270783 A270784 A270785

nonn,cofr

John William Knoderer, Mar 22 2016

Edited by N. J. A. Sloane, Apr 05 2016

approved