A176221 - OEIS

%I #15 Feb 11 2025 12:19:44

%S 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,

%T 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,

%U 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

%N Decimal expansion of sqrt(110).

%C Continued fraction expansion of sqrt(110) is A040099.

%H Daniel Starodubtsev, <a href="/A176221/b176221.txt">Table of n, a(n) for n = 2..10000</a>

%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>.

%F Equals 10 * Sum_{k>=0} binomial(2*k,k)/44^k. - _Amiram Eldar_, Aug 04 2022

%e sqrt(110) = 10.48808848170151546991...

%t RealDigits[Sqrt[110], 10, 110][[1]] (* _Alonso del Arte_, Jan 06 2013 *)

%o (PARI) sqrt(110) \\ _Amiram Eldar_, Aug 04 2022

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

%K cons,nonn,changed

%O 2,3

%A _Klaus Brockhaus_, Apr 12 2010