A010540 Decimal expansion of square root of 89.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Continued fraction expansion is 9 followed by {2, 3, 3, 2, 18} repeated. - Harry J. Smith, Jun 10 2009

Examples

			9.433981132056603811320660377622640716983622633415121320662981448980022...
		

Links

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

Crossrefs

Cf. A010161 (continued fraction).

Programs

Mathematica

RealDigits[Sqrt[89],10,120][[1]] (* Harvey P. Dale, Nov 20 2011 *)

PARI

{ default(realprecision, 20080); x=sqrt(89); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010540.txt", n, " ", d)); } \\ Harry J. Smith, Jun 10 2009

Python

from math import isqrt
def aupton(nn): return list(map(int, str(isqrt(89 * 10**(2*nn)))))[:nn]
print(aupton(100)) # Michael S. Branicky, Sep 04 2021