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A010536 Decimal expansion of square root of 85. 7

%I #19 Aug 21 2023 12:34:04

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

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

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

%N Decimal expansion of square root of 85.

%C Continued fraction expansion is 9 followed by {4, 1, 1, 4, 18} repeated. - _Harry J. Smith_, Jun 10 2009

%H Harry J. Smith, <a href="/A010536/b010536.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 9.219544457292887310002274281762793157246805048722464008007752205442671....

%t RealDigits[N[85^(1/2),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 23 2012 *)

%o (PARI) default(realprecision, 20080); x=sqrt(85); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010536.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 10 2009

%o (Python)

%o from math import isqrt

%o def aupton(nn): return list(map(int, str(isqrt(85 * 10**(2*nn)))))[:nn]

%o print(aupton(100)) # _Michael S. Branicky_, Sep 02 2021

%Y Cf. A010158 (continued fraction). - _Harry J. Smith_, Jun 10 2009

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_

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Last modified March 29 06:57 EDT 2024. Contains 371265 sequences. (Running on oeis4.)