%I #21 Jul 23 2024 14:49:13
%S 9,2,1,9,5,4,4,4,5,7,2,9,2,8,8,7,3,1,0,0,0,2,2,7,4,2,8,1,7,6,2,7,9,3,
%T 1,5,7,2,4,6,8,0,5,0,4,8,7,2,2,4,6,4,0,0,8,0,0,7,7,5,2,2,0,5,4,4,2,6,
%U 7,1,0,2,6,8,0,1,8,7,5,4,6,0,7,6,7,8,9,4,0,9,0,7,9,3,2,8,0,5,6
%N Decimal expansion of square root of 85.
%C Continued fraction expansion is 9 followed by {4, 1, 1, 4, 18} repeated. - _Harry J. Smith_, Jun 10 2009
%H Harry J. Smith, <a href="/A010536/b010536.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 9.219544457292887310002274281762793157246805048722464008007752205442671....
%t RealDigits[N[85^(1/2),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 23 2012 *)
%t RealDigits[Sqrt[85],10,120][[1]] (* _Harvey P. Dale_, Jul 23 2024 *)
%o (PARI) default(realprecision, 20080); x=sqrt(85); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010536.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 10 2009
%o (Python)
%o from math import isqrt
%o def aupton(nn): return list(map(int, str(isqrt(85 * 10**(2*nn)))))[:nn]
%o print(aupton(100)) # _Michael S. Branicky_, Sep 02 2021
%Y Cf. A010158 (continued fraction). - _Harry J. Smith_, Jun 10 2009
%K nonn,cons
%O 1,1
%A _N. J. A. Sloane_