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

2,3

Comments

Continued fraction expansion of sqrt(110) is A040099.

Links

Daniel Starodubtsev, Table of n, a(n) for n = 2..10000

Formula

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

Example

sqrt(110) = 10.48808848170151546991...

Mathematica

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

Prog

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

Crossrefs

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

Sequence in context: A196332 A245654 A135863 * A021676 A122153 A200628

Adjacent sequences: A176218 A176219 A176220 * A176222 A176223 A176224

Keyword

cons,nonn

Author

Klaus Brockhaus, Apr 12 2010

Status

approved