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

Author

N. J. A. Sloane

Keywords

• nonn
• cons
• easy

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

Examples

			3.741657386773941385583748732316549301756019807778726946303745467320035...
		

Links

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

Crossrefs

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

Programs

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 *)

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