A360148 -id:A360148 - cp's OEIS frontend

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

Offset: 1

N. J. A. Sloane

Continued fraction expansion is 5 followed by {5, 10} repeated (A040021). - Harry J. Smith, Jun 04 2009
6 + sqrt(27) represents the surface of a dodecahedron of side equal to one. S = 3*a^2(2 + sqrt(3)) with a = 1. - Vincenzo Librandi, Jul 10 2010
sqrt(27) is the perimeter of an equilateral triangle whose incircle's diameter is 1. - Martin Janecke, May 31 2016
If r = 2*a * sin(3t)/sin(2t) and x*(x^2+y^2) = a * (3x^2-y^2) are respectively a polar equation and a Cartesian equation of the Maclaurin trisectrix, then sqrt(27) * a^2 = area of the loop of this trisectrix = area between the curve and its asymptote (see Mathcurve link). - Bernard Schott, Jul 14 2020
Area of a regular hexagon with side length sqrt(2). - Christoph B. Kassir, Sep 29 2022
The solution of x^sqrt(3)=sqrt(3)^x, see e.g. A360148. - R. J. Mathar, Mar 24 2023
Surface area of a snub disphenoid (Johnson solid J_84) with unit edges. - Paolo Xausa, Aug 02 2025

			5.196152422706631880582339024517617100828415761431141884167420938355799....

Harry J. Smith, Table of n, a(n) for n = 1..20000
Robert Ferréol, MacLaurin trisectrix, Mathcurve.
Wikipedia, Snub disphenoid.
Index to sequences related to curves.
Index entries for algebraic numbers, degree 2

Cf. A040021 (continued fraction), A248254 (Egyptian fraction).

Cf. A104956 (half), A002194 (sqrt(3)).

RealDigits[N[Sqrt[27], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 22 2011 *)

default(realprecision, 20080); x=sqrt(27); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010482.txt", n, " ", d));  \\ Harry J. Smith, Jun 04 2009

Equals 3*sqrt(3) = 3 * A002194. - Bernard Schott, Jul 14 2020

Equals 2 * A104956. - Christoph B. Kassir, Oct 02 2022

cp's OEIS Frontend

A010482 Decimal expansion of square root of 27.

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