A010481 Decimal expansion of square root of 26.

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

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• cons

Comments

Continued fraction expansion is 5 followed by {10} repeated. - Harry J. Smith, Jun 03 2009

In the Gaussian moat problem, a moat of width sqrt(26) exists. - Paul Muljadi, Jan 28 2011

Examples

			5.09901951359278483002822410902278198956377094609959640758497080442...
		

Links

• Harry J. Smith, Table of n, a(n) for n = 1..20000
• Ellen Gethner, Stan Wagon and Brian Wick, A stroll through the Gaussian primes, American Mathematical Monthly 105 (1998), 327-337.
• Index entries for algebraic numbers, degree 2

Crossrefs

Cf. A040020 (continued fraction).

Programs

Mathematica

RealDigits[N[Sqrt[26], 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Feb 22 2011 *)

PARI

default(realprecision, 20080); x=sqrt(26); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010481.txt", n, " ", d));  \\ Harry J. Smith, Jun 03 2009