A190259 Continued fraction of (x + sqrt(2 + 4x))/2, where x=sqrt(2).

2, 11, 32, 1, 4, 10, 2, 1, 1, 3, 1, 1, 5, 2, 3, 2, 1, 4, 2, 3, 2, 41, 1, 2, 1, 1, 3, 4, 1, 35, 1, 5, 1, 29661, 2, 1, 1, 2, 1, 1, 1, 1, 1, 2, 5, 2, 2, 2, 1, 1, 1, 5, 15, 2, 1, 1, 1, 2, 7, 1, 1, 1, 13, 1, 1, 1, 1, 20, 2, 1, 2, 1, 1, 1, 1, 1, 4, 1, 1, 1, 1, 3, 14, 1

Offset: 1

Author

Clark Kimberling, May 06 2011

Keywords

• nonn
• cofr

Links

• G. C. Greubel, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A188635, A190258.

Programs

Magma

ContinuedFraction((Sqrt(2) + Sqrt(2+4*Sqrt(2)))/2); // G. C. Greubel, Dec 26 2017

Mathematica

(See A190258.)
ContinuedFraction[(Sqrt[2]+Sqrt[2+4Sqrt[2]])/2,100] (* Harvey P. Dale, Jun 16 2016 *)

PARI

contfrac((sqrt(2) + sqrt(2+4*sqrt(2)))/2) \\ G. C. Greubel, Dec 26 2017

Extensions

Definition clarified by Harvey P. Dale, Jun 16 2016