A190288 Continued fraction of (5+sqrt(25+4r))/2, where r=sqrt(5).

5, 2, 2, 2, 1, 1, 1, 10, 1, 1, 2, 1, 2, 1, 7, 1, 1, 1, 3, 1, 3, 1, 1, 2, 11, 22, 1, 1, 3, 3, 7, 1, 1, 1, 5, 1, 181, 1, 2, 2, 1, 2, 3, 17, 83, 1, 3, 2, 1, 14, 3, 1, 44, 3, 6, 4, 4, 1, 28, 1, 1, 1, 2, 1, 2, 1, 15, 1, 55, 1, 1, 3, 16, 3, 2, 1, 1, 1, 2, 1, 1, 2, 8, 4, 1, 1, 1, 1, 1, 1, 38

Offset: 0

Author

Clark Kimberling, May 07 2011

Keywords

• nonn
• cofr

Comments

Equivalent to the periodic continued fraction [5, r, 5, r, ...] where r=sqrt(5). For geometric interpretations of both continued fractions, see A190287 and A188635.

Crossrefs

Cf. A188635, A190287.

Programs

Mathematica

ContinuedFraction[(5+Sqrt[25+4Sqrt[5]])/2,120] (* Harvey P. Dale, Jun 22 2022 *)

Extensions

Offset changed by Andrew Howroyd, Jul 03 2024