login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A280207 Decimal expansion of x such that tan(Pi/x) + sin(Pi/x)*cos(Pi/x) = 2*Pi/x. 0
3, 1, 8, 1, 7, 6, 0, 1, 2, 9, 2, 7, 0, 1, 7, 1, 3, 8, 7, 6, 2, 0, 4, 6, 8, 0, 4, 9, 5, 1, 3, 0, 3, 1, 9, 6, 4, 2, 1, 7, 2, 1, 2, 4, 6, 3, 4, 9, 3, 5, 1, 4, 2, 1, 2, 4, 5, 9, 9, 4, 9, 2, 3, 1, 4, 9, 5, 7, 6, 8, 6, 6, 1, 8, 4, 0, 7, 0, 3, 1, 6, 5, 9, 8, 3, 7, 6 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

This is the hypothetical number of sides an equilateral polygon would have to have in order to create the same area between it and a circle in both its inscribed and circumscribed forms.

It is probably transcendental, though that has not been proved.

LINKS

Table of n, a(n) for n=1..87.

Ondrej Hrdina, First 50000 digits

Ondrej Hrdina, In-depth description

FORMULA

Solution of tan(Pi/x) + sin(Pi/x)*cos(Pi/x) = 2*Pi/x. (No closed-form expression for x exists.)

EXAMPLE

x = 3.18176012927017138762046804951303196421721246349351...

CROSSREFS

Sequence in context: A155789 A179393 A217598 * A319045 A182510 A112420

Adjacent sequences:  A280204 A280205 A280206 * A280208 A280209 A280210

KEYWORD

nonn,cons

AUTHOR

Ondrej Hrdina, Dec 30 2016

EXTENSIONS

More digits from Jon E. Schoenfield, Mar 16 2018

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 25 02:47 EDT 2019. Contains 323539 sequences. (Running on oeis4.)