A010487 - OEIS

%I #22 Aug 24 2023 06:23:37

%S 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,

%T 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,

%U 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

%N Decimal expansion of square root of 32.

%C Continued fraction expansion is 5 followed by {1, 1, 1, 10} repeated. - _Harry J. Smith_, Jun 04 2009

%C 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

%C Length of the perimeter of a square with circumscribed unit circle. - _R. J. Mathar_, Aug 24 2023

%H Harry J. Smith, <a href="/A010487/b010487.txt">Table of n, a(n) for n = 1..20000</a>

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>

%F Equals 4 * A002193. - _R. J. Mathar_, Oct 16 2015

%e 5.656854249492380195206754896838792314278687501507792292706718951962929....

%t RealDigits[N[Sqrt[32],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 22 2011 *)

%o (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

%Y Cf. A010130 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_