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A270782 Sequence arising from a mixed continued fraction for Pi: Pi = 22/(7+1/(354+1/(1+1/(12+...)))). 1
354, 1, 12, 2, 1, 7, 2, 4, 3, 1, 6, 2, 2, 1, 1, 3, 7, 1, 1, 3, 2, 1, 37, 2, 3, 2, 1, 1, 1, 7, 19, 3, 1, 6, 1, 3, 1, 2, 54, 2, 15, 4, 1, 1, 2, 1, 3, 1, 33, 2, 15, 1, 4, 1, 1, 1, 1, 3, 41, 1, 1, 3, 3, 2, 1, 4, 4, 1, 9, 7, 2, 4, 1, 2, 23, 7, 3, 7, 1, 1, 20, 9, 7, 62, 1, 8, 24, 2, 3, 1, 1, 2, 1, 1, 3, 2 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

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

LINKS

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

EXAMPLE

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.

MAPLE

with(numtheory); Digits:=200:

c:=22/Pi - 7;

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

CROSSREFS

Sequence in context: A282998 A213470 A068684 * A251127 A176197 A157668

Adjacent sequences:  A270779 A270780 A270781 * A270783 A270784 A270785

KEYWORD

nonn,cofr

AUTHOR

John William Knoderer, Mar 22 2016

EXTENSIONS

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

STATUS

approved

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Last modified April 7 00:47 EDT 2020. Contains 333291 sequences. (Running on oeis4.)