A176221 Decimal expansion of sqrt(110).

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

Offset: 2

Author

Klaus Brockhaus, Apr 12 2010

Keywords

• cons
• nonn

Comments

Continued fraction expansion of sqrt(110) is A040099.

Examples

			sqrt(110) = 10.48808848170151546991...
		

Links

• Daniel Starodubtsev, Table of n, a(n) for n = 2..10000
• Index entries for algebraic numbers, degree 2.

Crossrefs

Cf. A010467 (decimal expansion of sqrt(10)), A010468 (decimal expansion of sqrt(11)), A040099.

Programs

Mathematica

RealDigits[Sqrt[110], 10, 110][[1]] (* Alonso del Arte, Jan 06 2013 *)

PARI

sqrt(110) \\ Amiram Eldar, Aug 04 2022

Formula

Equals 10 * Sum_{k>=0} binomial(2*k,k)/44^k. - Amiram Eldar, Aug 04 2022