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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
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
KEYWORD
nonn,cofr
AUTHOR
EXTENSIONS
Edited by N. J. A. Sloane, Apr 05 2016
STATUS
approved

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)