A010492 - OEIS

%I #14 Aug 21 2023 12:33:13

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

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

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

%N Decimal expansion of square root of 38.

%C Continued fraction expansion is 6 followed by {6, 12} repeated. - _Harry J. Smith_, Jun 04 2009

%H Harry J. Smith, <a href="/A010492/b010492.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 6.164414002968976450250192381454244225235624023444574544874572072458399....

%t RealDigits[N[Sqrt[38],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 24 2011 *)

%o (PARI)  default(realprecision, 20080); x=sqrt(38); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010492.txt", n, " ", d));  \\ _Harry J. Smith_, Jun 04 2009

%Y Cf. A040031 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_