A010541 Decimal expansion of square root of 90.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Continued fraction expansion is 9 followed by {2, 18} repeated. - Harry J. Smith, Jun 11 2009

Examples

			9.486832980505137995996680633298155601158665417975650480572514558377783...
		

Links

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

Crossrefs

Cf. A040080 (continued fraction).

Programs

Mathematica

RealDigits[N[90^(1/2),200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 23 2012 *)
RealDigits[Sqrt[90],10,120][[1]] (* Harvey P. Dale, Jan 10 2025 *)

PARI

{ default(realprecision, 20080); x=sqrt(90); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010541.txt", n, " ", d)); } \\ Harry J. Smith, Jun 11 2009

Python

from math import isqrt
def aupton(nn): return list(map(int, str(isqrt(90 * 10**(2*nn)))))[:nn]
print(aupton(100)) # Michael S. Branicky, Sep 04 2021