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A010468 Decimal expansion of square root of 11. 24

%I #23 Aug 14 2023 10:40:25

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

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

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

%N Decimal expansion of square root of 11.

%C Continued fraction expansion is 3 followed by {3, 6} repeated. - _Harry J. Smith_, Jun 02 2009

%H Harry J. Smith, <a href="/A010468/b010468.txt">Table of n, a(n) for n = 1..20000</a>

%H Michael Penn, <a href="https://www.youtube.com/watch?v=yztD9caVsAY">A famous trig equation</a>, YouTube video, 2021.

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

%e 3.316624790355399849114932736670686683927088545589353597058682146116484...

%t RealDigits[N[Sqrt[11],200]] (* _Vladimir Joseph Stephan Orlovsky_, May 27 2010 *)

%o (PARI) default(realprecision, 20080); x=sqrt(11); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010468.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 02 2009

%Y Cf. A040007 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_

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Last modified March 29 02:23 EDT 2024. Contains 371264 sequences. (Running on oeis4.)