%I #15 Sep 10 2024 23:42:12
%S 7,5,4,9,8,3,4,4,3,5,2,7,0,7,4,9,6,9,7,2,3,6,6,8,4,8,0,6,9,4,6,1,1,7,
%T 0,5,8,2,2,2,1,9,4,7,0,4,6,2,3,3,8,0,1,3,8,2,9,8,6,2,6,9,0,5,7,1,0,7,
%U 2,1,9,5,3,9,1,7,8,1,1,1,9,5,5,8,2,4,5,2,0,7,4,1,4,7,5,2,3,9,7
%N Decimal expansion of square root of 57.
%C Continued fraction expansion is 7 followed by {1, 1, 4, 1, 1, 14} repeated. - _Harry J. Smith_, Jun 06 2009
%H Harry J. Smith, <a href="/A010510/b010510.txt">Table of n, a(n) for n = 1..20000</a>
%e 7.549834435270749697236684806946117058222194704623380138298626905710721... - _Harry J. Smith_, Jun 06 2009
%t RealDigits[N[Sqrt[57],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 25 2011 *)
%t RealDigits[Sqrt[57],10,120][[1]] (* _Harvey P. Dale_, Sep 10 2024 *)
%o (PARI) { default(realprecision, 20080); x=sqrt(57); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010510.txt", n, " ", d)); } \\ _Harry J. Smith_, Jun 06 2009
%Y Cf. A010142 Continued fraction. - _Harry J. Smith_, Jun 06 2009
%K nonn,cons
%O 1,1
%A _N. J. A. Sloane_