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

1,1

Comments

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

Links

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

Example

9.433981132056603811320660377622640716983622633415121320662981448980022... - Harry J. Smith, Jun 10 2009

Mathematica

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

Prog

(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

Crossrefs

Cf. A010161 (continued fraction). - Harry J. Smith, Jun 10 2009

Sequence in context: A282100 A199965 A021110 * A187466 A082695 A236257

Adjacent sequences: A010537 A010538 A010539 * A010541 A010542 A010543

Keyword

nonn,cons

Author

N. J. A. Sloane

Status

approved