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A188637
Continued fraction for length/width of a meta-silver rectangle.
2
2, 1, 3, 2, 3, 2, 7, 1, 1, 114, 11, 1, 2, 1, 18, 2, 1, 1, 1, 3, 15, 3, 2, 2, 6, 1, 1, 1, 1, 1, 2, 2, 200, 5, 176, 3, 3, 2, 1, 4, 3, 2, 1, 1, 5, 3, 2, 1, 2, 225, 2, 9, 1, 34, 1, 2, 3, 29, 2, 1, 9, 1, 2, 1, 73, 4, 2, 1, 8, 1, 2, 1, 21, 4, 2, 3, 1, 5, 1, 1, 2, 8, 1, 1, 2, 2, 2, 10, 3, 1, 6, 1, 21, 4, 9, 3, 1, 1, 4, 2, 28, 4, 5, 3, 3, 1, 1, 1, 3, 1, 1, 2, 2, 1, 4, 4, 8, 15, 3
OFFSET
0,1
COMMENTS
See A188636 for details.
LINKS
Clark Kimberling, A Visual Euclidean Algorithm, The Mathematics Teacher 76 (1983) 108-109.
MATHEMATICA
t=1+2^(1/2); r=(t+(t^2+4)^(1/2))/2
FullSimplify[r]
ContinuedFraction[r, 120]
CROSSREFS
Cf. A188636 (decimal expansion), A188635, A136319.
Sequence in context: A330926 A323273 A100677 * A083290 A121842 A317963
KEYWORD
nonn,cofr
AUTHOR
Clark Kimberling, Apr 06 2011
EXTENSIONS
Offset changed by Andrew Howroyd, Jul 08 2024
STATUS
approved