%I #31 Aug 21 2023 10:14:03
%S 3,7,4,1,6,5,7,3,8,6,7,7,3,9,4,1,3,8,5,5,8,3,7,4,8,7,3,2,3,1,6,5,4,9,
%T 3,0,1,7,5,6,0,1,9,8,0,7,7,7,8,7,2,6,9,4,6,3,0,3,7,4,5,4,6,7,3,2,0,0,
%U 3,5,1,5,6,3,0,6,9,3,9,0,2,7,9,7,6,8,0,9,8,9,5,1,9,4,3,7,9,5,7
%N Decimal expansion of square root of 14.
%C Continued fraction expansion is 3 followed by {1, 2, 1, 6} repeated. - _Harry J. Smith_, Jun 02 2009
%C The convergents are given in A041020/A041021. - _Wolfdieter Lang_, Nov 27 2017
%H Harry J. Smith, <a href="/A010471/b010471.txt">Table of n, a(n) for n = 1..20000</a>
%H <a href="/index/Al#algebraic_02">Index entries for algebraic numbers, degree 2</a>
%e 3.741657386773941385583748732316549301756019807778726946303745467320035...
%p evalf[100](sqrt(14)); # _Muniru A Asiru_, Feb 12 2019
%t RealDigits[N[Sqrt[14], 200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 21 2011 *)
%t RealDigits[Sqrt[14],10,120][[1]] (* _Harvey P. Dale_, Jan 07 2023 *)
%o (PARI) default(realprecision, 20080); x=sqrt(14); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010471.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 02 2009
%Y Cf. A010123 (continued fraction), A041020/A041021.
%K nonn,cons,easy
%O 1,1
%A _N. J. A. Sloane_