|
%I #44 Jan 29 2024 19:10:06
%S 5,9,1,6,0,7,9,7,8,3,0,9,9,6,1,6,0,4,2,5,6,7,3,2,8,2,9,1,5,6,1,6,1,7,
%T 0,4,8,4,1,5,5,0,1,2,3,0,7,9,4,3,4,0,3,2,2,8,7,9,7,1,9,6,6,9,1,4,2,8,
%U 2,2,4,5,9,1,0,5,6,5,3,0,3,6,7,6,5,7,5,2,5,2,7,1,8,3,1,0,9,1,7
%N Decimal expansion of square root of 35.
%C Continued fraction expansion is 5 followed by {1, 10} repeated. - _Harry J. Smith_, Jun 04 2009
%C This is the length of the long leg of a right triangle with hypotenuse 6 and short leg 1. So this is half the length of the longest line segment that can be drawn within a circular ring with radii 6 and 1. - _Michel Marcus_, Jun 20 2020
%H Harry J. Smith, <a href="/A010490/b010490.txt">Table of n, a(n) for n = 1..20000</a>
%H Wikipedia, <a href="https://en.wikipedia.org/wiki/Annulus_(mathematics)">Annulus (mathematics)</a>.
%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>
%e 5.916079783099616042567328291561617048415501230794340322879719669142822...
%t RealDigits[N[Sqrt[35],105]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 20 2011 *)
%o (PARI) default(realprecision, 20080); x=sqrt(35); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010490.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 04 2009
%Y Cf. A040029 (continued fraction), A010606 (cube root of 35).
%K nonn,cons
%O 1,1
%A _N. J. A. Sloane_
|
