A010487 Decimal expansion of square root of 32.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Continued fraction expansion is 5 followed by {1, 1, 1, 10} repeated. - Harry J. Smith, Jun 04 2009

Decimal expansion of shortest length, (B), of segment from side BC through incenter to side BA in right triangle ABC with sidelengths (a,b,c)=(5,12,13), see A195284. - Clark Kimberling, Sep 14 2011

Length of the perimeter of a square with circumscribed unit circle. - R. J. Mathar, Aug 24 2023

Examples

			5.656854249492380195206754896838792314278687501507792292706718951962929....
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Index entries for algebraic numbers, degree 2

Crossrefs

Cf. A010130 (continued fraction).

Programs

Mathematica

RealDigits[N[Sqrt[32],200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 22 2011 *)

PARI

default(realprecision, 20080); x=sqrt(32); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010487.txt", n, " ", d));  \\ Harry J. Smith, Jun 04 2009

Formula

Equals 4 * A002193. - R. J. Mathar, Oct 16 2015