A010533 - OEIS

%I #17 Feb 11 2025 14:45:34

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

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

%U 5,7,9,8,0,7,6,6,0,5,9,2,3,3,3,8,4,9,6,0,6,7,8,5,9,0,9,9,0,9,2

%N Decimal expansion of square root of 82.

%C Continued fraction expansion is 9 followed by {18} repeated. - _Harry J. Smith_, Jun 10 2009

%H Harry J. Smith, <a href="/A010533/b010533.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 9.055385138137416626573808166984066413052124464096940276581741230018657...

%t RealDigits[N[82^(1/2),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 23 2012 *)

%t RealDigits[Sqrt[82],10,120][[1]] (* _Harvey P. Dale_, May 20 2023 *)

%o (PARI) { default(realprecision, 20080); x=sqrt(82); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010533.txt", n, " ", d)); } \\ _Harry J. Smith_, Jun 10 2009

%Y Cf. A040072 Continued fraction.

%K nonn,cons,changed

%O 1,1

%A _N. J. A. Sloane_