A010490 Decimal expansion of square root of 35.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Continued fraction expansion is 5 followed by {1, 10} repeated. - Harry J. Smith, Jun 04 2009

This is the length of the long leg of a right triangle with hypotenuse 6 and short leg 1. So this is half the length of the longest line segment that can be drawn within a circular ring with radii 6 and 1. - Michel Marcus, Jun 20 2020

Examples

			5.916079783099616042567328291561617048415501230794340322879719669142822...
		

References

• James J. Tattersall, Elementary Number Theory in Nine Chapters, Cambridge University Press, 1999, page 275.

Links

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

Crossrefs

Cf. A040029 (continued fraction), A010606 (cube root of 35).

Programs

Mathematica

RealDigits[N[Sqrt[35],105]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 20 2011 *)

PARI

default(realprecision, 20080); x=sqrt(35); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010490.txt", n, " ", d));  \\ Harry J. Smith, Jun 04 2009