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

1,1

Comments

See A188636 for details.

Links

Table of n, a(n) for n=1..119.

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, A188635, A136319.

Sequence in context: A330926 A323273 A100677 * A083290 A121842 A317963

Adjacent sequences: A188634 A188635 A188636 * A188638 A188639 A188640

Keyword

nonn,cofr

Author

Clark Kimberling, Apr 06 2011

Status

approved