A010488 - OEIS

%I #21 Aug 21 2023 12:24:30

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

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

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

%N Decimal expansion of square root of 33.

%C Continued fraction expansion is 5 followed by {1, 2, 1, 10} repeated. - _Harry J. Smith_, Jun 04 2009

%H Harry J. Smith, <a href="/A010488/b010488.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 5.744562646538028659850611468218929318220264457982792367699877470565900...

%t RealDigits[N[Sqrt[33],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 24 2011 *)

%o (PARI)  default(realprecision, 20080); x=sqrt(33); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010488.txt", n, " ", d));  \\ _Harry J. Smith_, Jun 04 2009

%Y Cf. A010131 (continued fraction).

%K nonn,cons,easy

%O 1,1

%A _N. J. A. Sloane_