

A336082


Decimal expansion of the arclength on the unit circle such that the corresponding chord separates the interior into segments having 2 = ratio of segment areas; see Comments.


1



2, 6, 0, 5, 3, 2, 5, 6, 7, 4, 6, 0, 0, 9, 0, 2, 6, 8, 5, 7, 0, 0, 1, 9, 4, 3, 1, 5, 4, 1, 2, 9, 7, 5, 8, 0, 1, 4, 4, 1, 0, 2, 2, 9, 7, 8, 1, 5, 7, 4, 8, 7, 6, 0, 5, 1, 7, 7, 1, 3, 5, 0, 8, 1, 6, 6, 4, 7, 4, 0, 5, 8, 2, 8, 6, 6, 0, 0, 0, 6, 6, 8, 9, 1, 9, 9
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OFFSET

1,1


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

Table of n, a(n) for n=1..86.


EXAMPLE

arclength = 2.605325674600902685700194315412975801441...


MATHEMATICA

k = 2; 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: A108431 A190144 A019967 * A327280 A345208 A241810
Adjacent sequences: A336079 A336080 A336081 * A336083 A336084 A336085


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Jul 11 2020


STATUS

approved



