A188637 Continued fraction for length/width of a meta-silver rectangle.

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

Author

Clark Kimberling, Apr 06 2011

Keywords

• nonn
• cofr

Comments

See A188636 for details.

Links

• Clark Kimberling, A Visual Euclidean Algorithm, The Mathematics Teacher 76 (1983) 108-109.

Crossrefs

Cf. A188636 (decimal expansion), A188635, A136319.

Programs

Mathematica

t=1+2^(1/2); r=(t+(t^2+4)^(1/2))/2
FullSimplify[r]
ContinuedFraction[r,120]

Extensions

Offset changed by Andrew Howroyd, Jul 08 2024