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

Author

Jason Earls, Jul 24 2001

Keywords

• cofr
• easy
• nonn

Examples

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

Links

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

Crossrefs

Cf. A063448 (decimal expansion).

Programs

Magma

SetDefaultRealField(RealField(150)); R:= RealField(); ContinuedFraction(Pi(R)*Sqrt(2)); // G. C. Greubel, Aug 16 2018

Mathematica

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

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

Extensions

Offset changed by Andrew Howroyd, Aug 04 2024