

A241243


Decimal representation of sin(Pi/17).


0



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

1,2


REFERENCES

Saul Stahl, "Geometry From Euclid To Knots" Chapter 4.3, 'Regular Polygons', Courier  Dover Publications, NJ, 2009, pp. 153154.


LINKS

Table of n, a(n) for n=1..120.
Wikipedia, Constructible polygon


FORMULA

Equals 1/4 sqrt(8  sqrt(2*(15 + sqrt(17)  sqrt(2*(17  sqrt(17))) + sqrt(2*(34 + 6 sqrt(17) + sqrt(2*(17  sqrt(17)))  sqrt(34*(17  sqrt(17))) + 8*sqrt(2*(17 + sqrt(17)))))))).  Robert G. Wilson v, Aug 14 2014
The minimal polynomial is 65536x^16  278528x^14 + 487424x^12  452608x^10 + 2398360x^8 + 11424x^4  816x^2 + 17.  Robert G. Wilson v, Aug 14 2014


EXAMPLE

0.18374951781657033157440883962072758248913852384449940585065085774891492825305...


MAPLE

Digits:=100: evalf(sin(Pi/17)); # Wesley Ivan Hurt, Aug 15 2014


MATHEMATICA

RealDigits[ Sin[ Pi/17], 10, 111][[1]] (* Robert G. Wilson v, Aug 14 2014 *)


CROSSREFS

Sequence in context: A301813 A206161 A131654 * A033990 A248190 A099284
Adjacent sequences: A241240 A241241 A241242 * A241244 A241245 A241246


KEYWORD

nonn,cons


AUTHOR

Zak Seidov, Apr 18 2014


STATUS

approved



