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%I #25 Aug 21 2023 11:26:16
%S 6,3,2,4,5,5,5,3,2,0,3,3,6,7,5,8,6,6,3,9,9,7,7,8,7,0,8,8,8,6,5,4,3,7,
%T 0,6,7,4,3,9,1,1,0,2,7,8,6,5,0,4,3,3,6,5,3,7,1,5,0,0,9,7,0,5,5,8,5,1,
%U 8,8,8,7,7,2,7,8,4,7,6,4,4,2,6,8,8,4,9,6,2,1,6,7,5,8,6,0,0,5,9
%N Decimal expansion of square root of 40.
%H Harry J. Smith, <a href="/A010494/b010494.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>
%F Equals 2*A010467. - _R. J. Mathar_, Jan 14 2021
%F Equals 10 * Sum_{k>=1} Fibonacci(k)*binomial(2*k,k)/8^k. - _Amiram Eldar_, Jan 17 2022
%e 6.324555320336758663997787088865437067439110278650433653715009705585188....
%t RealDigits[N[Sqrt[40],200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Feb 24 2011 *)
%o (PARI) default(realprecision, 20080); x=sqrt(40); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010494.txt", n, " ", d)); \\ _Harry J. Smith_, Jun 05 2009
%Y Cf. A040033 (continued fraction). - _Harry J. Smith_, Jun 05 2009
%Y Cf. A000045, A010467.
%K nonn,cons
%O 1,1
%A _N. J. A. Sloane_
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