%I #29 Aug 14 2023 10:30:28

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

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

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

%N Decimal expansion of square root of 15.

%C Continued fraction expansion is 3 followed by {1, 6} repeated. - _Harry J. Smith_, Jun 03 2009

%H Harry J. Smith, <a href="/A010472/b010472.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 3 + Sum_{k>=0} (-1)^k * binomial(2*k,k)/((k+1) * 6^k). - _Amiram Eldar_, May 06 2022

%e 3.87298334620741688517926539978239961083292170529159082658757376611348309193...

%p evalf[120](sqrt(15)); # _Muniru A Asiru_, Feb 12 2019

%t RealDigits[N[Sqrt[15],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 20 2011 *)

%o (PARI) default(realprecision, 20080); x=sqrt(15); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010472.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 03 2009

%Y Cf. A040011 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_