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

1,1

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.

Links

Table of n, a(n) for n=1..91.

Mathematica

(See A190287.)
ContinuedFraction[(5+Sqrt[25+4Sqrt[5]])/2, 120] (* Harvey P. Dale, Jun 22 2022 *)

Crossrefs

Cf. A188635, A190287.

Sequence in context: A359426 A058841 A129165 * A325499 A081119 A303579

Adjacent sequences: A190285 A190286 A190287 * A190289 A190290 A190291

Keyword

nonn,cofr

Author

Clark Kimberling, May 07 2011

Status

approved