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A190288
Continued fraction of (5+sqrt(25+4r))/2, where r=sqrt(5).
1
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
0,1
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.
MATHEMATICA
ContinuedFraction[(5+Sqrt[25+4Sqrt[5]])/2, 120] (* Harvey P. Dale, Jun 22 2022 *)
CROSSREFS
Sequence in context: A359426 A058841 A129165 * A325499 A081119 A303579
KEYWORD
nonn,cofr
AUTHOR
Clark Kimberling, May 07 2011
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 03 2024
STATUS
approved