A010471 Decimal expansion of square root of 14.

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

Offset

1,1

Comments

Continued fraction expansion is 3 followed by {1, 2, 1, 6} repeated. - Harry J. Smith, Jun 02 2009

The convergents are given in A041020/A041021. - Wolfdieter Lang, Nov 27 2017

Links

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

Index entries for algebraic numbers, degree 2

Example

3.741657386773941385583748732316549301756019807778726946303745467320035...

Maple

evalf[100](sqrt(14)); # Muniru A Asiru, Feb 12 2019

Mathematica

RealDigits[N[Sqrt[14], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 21 2011 *)
RealDigits[Sqrt[14], 10, 120][[1]] (* Harvey P. Dale, Jan 07 2023 *)

Prog

(PARI)  default(realprecision, 20080); x=sqrt(14); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010471.txt", n, " ", d));  \\ Harry J. Smith, Jun 02 2009

Crossrefs

Cf. A010123 (continued fraction), A041020/A041021.

Sequence in context: A135928 A011444 A272004 * A077226 A175316 A197145

Adjacent sequences: A010468 A010469 A010470 * A010472 A010473 A010474

Keyword

nonn,cons,easy

Author

N. J. A. Sloane

Status

approved