A010536 Decimal expansion of square root of 85.

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, 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, 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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Continued fraction expansion is 9 followed by {4, 1, 1, 4, 18} repeated. - Harry J. Smith, Jun 10 2009

Examples

			9.219544457292887310002274281762793157246805048722464008007752205442671....
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Index entries for algebraic numbers, degree 2

Crossrefs

Cf. A010158 (continued fraction). - Harry J. Smith, Jun 10 2009

Programs

Mathematica

RealDigits[N[85^(1/2),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 23 2012 *)
RealDigits[Sqrt[85],10,120][[1]] (* Harvey P. Dale, Jul 23 2024 *)

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

Python

from math import isqrt
def aupton(nn): return list(map(int, str(isqrt(85 * 10**(2*nn)))))[:nn]
print(aupton(100)) # Michael S. Branicky, Sep 02 2021