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A010513 Decimal expansion of square root of 60. 5

%I #18 Aug 03 2020 02:05:49

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

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

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

%N Decimal expansion of square root of 60.

%C Continued fraction expansion is 7 followed by {1, 2, 1, 14} repeated. - _Harry J. Smith_, Jun 07 2009

%H Harry J. Smith, <a href="/A010513/b010513.txt">Table of n, a(n) for n = 1..20000</a>

%F Equals 10 * sqrt(3/5) = 10 * Sum_{k>=0} (-1)^k * binomial(2*k,k)/6^k. - _Amiram Eldar_, Aug 03 2020

%e 7.745966692414833770358530799564799221665843410583181653175147532226966... - _Harry J. Smith_, Jun 07 2009

%t RealDigits[N[Sqrt[60],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 25 2011 *)

%o (PARI) { default(realprecision, 20080); x=sqrt(60); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010513.txt", n, " ", d)); } \\ _Harry J. Smith_, Jun 07 2009

%Y Cf. A040052 (continued fraction). - _Harry J. Smith_, Jun 07 2009

%K nonn,cons

%O 1,1

%A _N. J. A. Sloane_

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Last modified April 18 11:02 EDT 2024. Contains 371779 sequences. (Running on oeis4.)