%I #15 Aug 21 2023 12:33:11

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

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

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

%N Decimal expansion of square root of 53.

%C Continued fraction expansion is 7 followed by {3, 1, 1, 3, 14} repeated. - _Harry J. Smith_, Jun 06 2009

%H Harry J. Smith, <a href="/A010506/b010506.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>

%e 7.280109889280518271097302491527032793777669682576477438378181791284115....

%t RealDigits[N[Sqrt[53],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 24 2011 *)

%o (PARI) default(realprecision, 20080); x=sqrt(53); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010506.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 06 2009

%Y Cf. A010139 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_