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A010517 Decimal expansion of square root of 65. 9

%I #15 Aug 21 2023 11:26:13

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

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

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

%N Decimal expansion of square root of 65.

%C Continued fraction expansion is 8 followed by {16} repeated. - _Harry J. Smith_, Jun 07 2009

%H Harry J. Smith, <a href="/A010517/b010517.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 8.062257748298549652366613230303771131134396305608573387936592389263874....

%t RealDigits[N[65^(1/2),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 22 2012 *)

%o (PARI) default(realprecision, 20080); x=sqrt(65); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010517.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 07 2009

%Y Cf. A040056 (continued fraction).

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_

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