|
|
A121602
|
|
Decimal expansion of cosecant of 20 degrees = csc(Pi/9).
|
|
3
|
|
|
2, 9, 2, 3, 8, 0, 4, 4, 0, 0, 1, 6, 3, 0, 8, 7, 2, 5, 2, 2, 3, 2, 7, 5, 4, 4, 1, 3, 3, 6, 6, 2, 9, 1, 7, 0, 3, 8, 7, 3, 5, 0, 5, 6, 6, 1, 5, 1, 8, 9, 2, 4, 4, 8, 1, 7, 1, 0, 6, 3, 6, 9, 8, 6, 3, 5, 5, 3, 4, 5, 1, 6, 2, 7, 9, 9, 3, 5, 1, 8, 0, 9, 8, 3, 9, 2, 5, 5, 5, 8, 1, 0, 3, 1, 0, 2, 6, 3, 1, 2, 7, 1, 8, 5, 4
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
1 + csc(Pi/9) is the radius of the smallest circle into which 11 unit circles can be packed ("r=3.923+ Proved by Melissen in 1994.", according to the Friedman link, which has a diagram). csc(Pi/9) [=1/A019829] is the distance between the center of the larger circle and the center of each unit circle that touches the larger circle.
|
|
LINKS
|
|
|
EXAMPLE
|
2.9238044001630872522327544133662917...
|
|
MATHEMATICA
|
RealDigits[Csc[20 Degree], 10, 120][[1]] (* Harvey P. Dale, May 27 2023 *)
|
|
PROG
|
(PARI) 1/sin(Pi/9)
|
|
CROSSREFS
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|