A177438 Continued fraction for Pi - sqrt(2).

1, 1, 2, 1, 2, 77, 2, 1, 37, 1, 6, 1, 1, 1, 46, 3, 1, 1, 1, 1, 4, 2, 7, 1, 4, 1, 2, 1, 13, 1, 1, 1, 3, 2, 1, 1, 432, 1, 1, 1, 1, 3, 2, 10, 1, 1, 1, 18, 1, 1700, 1, 1, 5, 2, 9, 4, 4, 1, 1, 2, 1, 3, 27, 1, 1, 2, 1, 1, 1, 4, 3, 1, 2, 2, 5, 1, 32, 1, 11, 1, 2, 52, 10, 4, 1, 1, 10, 1, 1, 2, 23, 1, 3, 7, 12, 1

Offset: 0

Author

Earl Bellinger (ebelling(AT)oswego.edu), May 08 2010

Keywords

• cofr
• nonn

Links

• G. C. Greubel, Table of n, a(n) for n = 0..10000

Crossrefs

Cf. A177437 (decimal expansion of Pi-sqrt(2)), A001203 (continued fraction for Pi), A040000 (continued fraction expansion of sqrt(2)).

Programs

Magma

SetDefaultRealField(RealField(100)); R:= RealField(); ContinuedFraction(Pi(R) - Sqrt(2)); // G. C. Greubel, Sep 29 2018

Maple

with(numtheory): cfrac(Pi-(sqrt(2)),100,'quotients'); # Muniru A Asiru, Sep 29 2018

Mathematica

ContinuedFraction[Pi-Sqrt[2],100] (* Harvey P. Dale, Nov 06 2011 *)

PARI

default(realprecision, 100); contfrac(Pi - sqrt(2)) \\ G. C. Greubel, Sep 29 2018

Extensions

Edited and extended by Klaus Brockhaus, May 09 2010