A343486 Decimal expansion of (29/96)*sqrt(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

Author

Kevin Ryde, Apr 17 2021

Keywords

• cons
• easy
• nonn

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.

Examples

			0.52322368145309834908641608232989894...
		

Links

• Kevin Ryde, Table of n, a(n) for n = 0..10000
• Kevin Ryde, Iterations of the Terdragon Curve, see index "HAf".

Crossrefs

Cf. A343485 (terdragon finite hull areas), A343487 (terdragon hull perimeter), A120011 (unit triangle area).

Programs

Mathematica

RealDigits[29*Sqrt[3]/96, 10, 120][[1]] (* Amiram Eldar, Jun 29 2023 *)

PARI

my(c=29/96*quadgen(3*4)); a_vector(len) = digits(floor(c*10^len));