A010497 - OEIS

%I #14 Aug 21 2023 12:33:10

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

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

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

%N Decimal expansion of square root of 43.

%C Continued fraction expansion is 6 followed by {1, 1, 3, 1, 5, 1, 3, 1, 1, 12} repeated. - _Harry J. Smith_, Jun 05 2009

%H Harry J. Smith, <a href="/A010497/b010497.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 6.557438524302000652344109997636001627926966319883789769865460105585659....

%t RealDigits[N[Sqrt[43],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 24 2011 *)

%o (PARI)  default(realprecision, 20080); x=sqrt(43); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010497.txt", n, " ", d));  \\ _Harry J. Smith_, Jun 05 2009

%Y Cf. A010134 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_