A063447 Continued fraction for Pi * sqrt(2).

4, 2, 3, 1, 7, 7, 1, 3, 1, 1, 1, 1, 4, 10, 8, 1, 2, 3, 3, 2, 5, 8, 6, 14, 1, 9, 1, 1, 1, 2, 6, 2, 2, 4, 3, 2, 2, 6, 1, 12, 1, 35, 32, 1, 3, 5, 15, 1, 2, 1, 6, 1, 2, 1, 1, 2, 16, 6, 1, 7, 1, 2, 2, 1, 2, 1, 1, 27, 3, 6, 4, 26, 2, 1, 31, 2, 1, 1, 12, 1, 1, 2, 2, 1, 24, 5, 2, 591, 6, 33, 1, 8, 1, 2, 6, 2

Offset

0,1

Links

Harry J. Smith, Table of n, a(n) for n = 0..19999

Example

4.442882938158366247015880990... = 4 + 1/(2 + 1/(3 + 1/(1 + 1/(7 + ...))))

Mathematica

ContinuedFraction[Pi*Sqrt[2], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 21 2011*)

Prog

(PARI) contfrac(Pi*sqrt(2))
(PARI) allocatemem(932245000); default(realprecision, 21000); x=contfrac(Pi*sqrt(2)); for (n=1, 20000, write("b063447.txt", n-1, " ", x[n])) \\ Harry J. Smith, Aug 21 2009
(Magma) SetDefaultRealField(RealField(150)); R:= RealField(); ContinuedFraction(Pi(R)*Sqrt(2)); // G. C. Greubel, Aug 16 2018

Crossrefs

Cf. A063448 (decimal expansion).

Sequence in context: A222221 A254043 A016513 * A304786 A335381 A018845

Adjacent sequences: A063444 A063445 A063446 * A063448 A063449 A063450

Keyword

cofr,easy,nonn

Author

Jason Earls, Jul 24 2001

Extensions

Offset changed by Andrew Howroyd, Aug 04 2024

Status

approved