

A336078


Decimal expansion of (3*Pi + 2)/(Pi  2).


1



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

2,5


COMMENTS

Decimal expansion of the ratio of segment areas for arclength Pi/2 on the unit circle. In general, 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=2..87.


FORMULA

Equals (2*Pi  s + sin(s))/(s  sin(s)), where s = Pi/2 = A019669.


EXAMPLE

10.00775357553643464481563880604581551700159202722296...


MATHEMATICA

s = Pi/2; r = N[(2 Pi  s + Sin[s])/(s  Sin[s]), 200]
RealDigits[r][[1]]


CROSSREFS

Cf. A019669, A336073.
Sequence in context: A109939 A053011 A021133 * A074917 A154016 A343143
Adjacent sequences: A336075 A336076 A336077 * A336079 A336080 A336081


KEYWORD

nonn,cons


AUTHOR

Clark Kimberling, Jul 11 2020


STATUS

approved



