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

1,1

Comments

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

Links

Harry J. Smith, Table of n, a(n) for n = 1..20000

Index entries for algebraic numbers, degree 2

Example

9.219544457292887310002274281762793157246805048722464008007752205442671....

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 *)

Prog

(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

Crossrefs

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

Sequence in context: A197488 A197757 A293258 * A239908 A293171 A334689

Adjacent sequences: A010533 A010534 A010535 * A010537 A010538 A010539

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved