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A010475 Decimal expansion of square root of 19. 10

%I #15 Aug 21 2023 11:16:27

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

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

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

%N Decimal expansion of square root of 19.

%C Continued fraction expansion is 4 followed by {2, 1, 3, 1, 2, 8} repeated. - _Harry J. Smith_, Jun 03 2009

%H Harry J. Smith, <a href="/A010475/b010475.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 4.358898943540673552236981983859615659137003925232444936890344138159557....

%t RealDigits[N[Sqrt[19],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 21 2011 *)

%o (PARI) default(realprecision, 20080); x=sqrt(19); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010475.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 03 2009

%Y Cf. A010124 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_

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