|
| |
|
|
A343486
|
|
Decimal expansion of (29/96)*sqrt(3).
|
|
3
|
|
|
|
5, 2, 3, 2, 2, 3, 6, 8, 1, 4, 5, 3, 0, 9, 8, 3, 4, 9, 0, 8, 6, 4, 1, 6, 0, 8, 2, 3, 2, 9, 8, 9, 8, 9, 4, 4, 1, 8, 0, 6, 3, 9, 0, 8, 7, 0, 8, 8, 5, 5, 2, 4, 8, 1, 3, 9, 1, 8, 5, 8, 3, 5, 8, 3, 7, 6, 1, 0, 4, 7, 6, 5, 5, 2, 4, 5, 3, 3, 3, 4, 4, 5, 3, 4, 9, 2, 9, 5, 7, 7, 2, 4, 9, 5, 8, 5, 5, 0, 7, 2, 3, 5, 3, 4, 5
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
0,1
|
|
|
COMMENTS
|
Area of the convex hull around the terdragon fractal. As the limit of finite expansion levels, equals lim_{n->oo} (sqrt(3)/4) * A343485(n) / 3^n, where sqrt(3)/4 = A120011 is the area of a unit-side equilateral triangle.
|
|
|
LINKS
|
|
|
|
EXAMPLE
|
0.52322368145309834908641608232989894...
|
|
|
MATHEMATICA
|
RealDigits[29*Sqrt[3]/96, 10, 120][[1]] (* Amiram Eldar, Jun 29 2023 *)
|
|
|
PROG
|
(PARI) my(c=29/96*quadgen(3*4)); a_vector(len) = digits(floor(c*10^len));
|
|
|
CROSSREFS
|
Cf. A343485 (terdragon finite hull areas), A343487 (terdragon hull perimeter), A120011 (unit triangle area).
|
|
|
KEYWORD
|
|
|
|
AUTHOR
|
|
|
|
STATUS
|
approved
|
| |
|
|
