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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
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
Kevin Ryde, Iterations of the Terdragon Curve, see index "HAf".
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).
Sequence in context: A155551 A259027 A214064 * A098584 A081750 A291358
KEYWORD
cons,easy,nonn
AUTHOR
Kevin Ryde, Apr 17 2021
STATUS
approved