login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A336085 Decimal expansion of the arclength on the unit circle such that the corresponding chord separates the interior into segments having 5 = ratio of segment areas; see Comments. 1
1, 9, 6, 8, 9, 6, 8, 7, 1, 2, 9, 1, 8, 5, 2, 9, 7, 0, 0, 1, 3, 0, 1, 7, 7, 0, 2, 6, 1, 2, 0, 5, 6, 4, 1, 8, 2, 5, 5, 3, 2, 2, 3, 1, 3, 0, 6, 1, 2, 9, 0, 3, 9, 8, 7, 5, 2, 3, 4, 7, 1, 7, 3, 1, 9, 5, 2, 2, 7, 4, 9, 7, 3, 3, 3, 8, 1, 4, 7, 2, 6, 0, 4, 7, 0, 3 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
1,2
COMMENTS
Suppose that s in (0,Pi) is the length of an arc of the unit circle. The associated chord separates the interior into two segments. Let A1 be the area of the larger and A2 the area of the smaller. The term "ratio of segment areas" means A1/A2. See A336073 for a guide to related sequences.
LINKS
EXAMPLE
arclength = 1.96896871291852970013017702612056418255322313061290398752...
MATHEMATICA
k = 5; s = s /. FindRoot[(2 Pi - s + Sin[s])/(s - Sin[s]) == k, {s, 2}, WorkingPrecision -> 200]
RealDigits[s][[1]]
CROSSREFS
Cf. A336073.
Sequence in context: A161484 A103985 A153071 * A363539 A086279 A155533
KEYWORD
nonn,cons
AUTHOR
Clark Kimberling, Jul 11 2020
STATUS
approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 28 10:31 EDT 2024. Contains 371240 sequences. (Running on oeis4.)