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

1,1

Comments

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

Links

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

Example

9.486832980505137995996680633298155601158665417975650480572514558377783... - Harry J. Smith, Jun 11 2009

Mathematica

RealDigits[N[90^(1/2), 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 23 2012 *)

Prog

(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

Crossrefs

Cf. A040080 (continued fraction). - Harry J. Smith, Jun 11 2009

Sequence in context: A198218 A238183 A242712 * A103742 A092736 A019617

Adjacent sequences: A010538 A010539 A010540 * A010542 A010543 A010544

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved