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

1,1

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

Links

Harry J. Smith, Table of n, a(n) for n = 1..20000

Index entries for algebraic numbers, degree 2

Formula

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

Example

5.656854249492380195206754896838792314278687501507792292706718951962929....

Mathematica

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

Prog

(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

Crossrefs

Cf. A010130 (continued fraction).

Sequence in context: A010717 A046603 A139396 * A177957 A223171 A188942

Adjacent sequences: A010484 A010485 A010486 * A010488 A010489 A010490

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved