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%I #19 Nov 29 2023 13:07:39
%S 9,7,9,7,9,5,8,9,7,1,1,3,2,7,1,2,3,9,2,7,8,9,1,3,6,2,9,8,8,2,3,5,6,5,
%T 5,6,7,8,6,3,7,8,9,9,2,2,6,2,6,6,8,0,5,1,3,7,3,0,7,7,0,2,6,9,0,0,3,8,
%U 4,1,5,0,9,8,2,9,2,6,0,1,0,6,1,5,9,4,3,7,7,3,2,4,1,8,5,6,0,9,3,9,2,7,4,3,7
%N Decimal expansion of square root of 96.
%C Continued fraction expansion is 9 followed by {1, 3, 1, 18} repeated. - _Harry J. Smith_, Jun 11 2009
%C This differs only by offset from 2*(6^(1/2))/5 = 0.9797958971132712392789... as used in Theorem 5, equation 1.8, p.4 of Cao. - _Jonathan Vos Post_, Apr 29 2010
%H Harry J. Smith, <a href="/A010547/b010547.txt">Table of n, a(n) for n = 1..20000</a>
%H Zhenwei Cao and Alexander Elgart, <a href="http://arxiv.org/abs/1004.4911">On efficiency of Hamiltonian--based quantum computation for low-rank matrices</a>, arXiv:1004.4911 [math-ph], 2010-2012.
%e 9.797958971132712392789136298823565567863789922626680513730770269003841... - _Harry J. Smith_, Jun 11 2009
%t RealDigits[N[96^(1/2),200]][[1]] (* _Vladimir Joseph Stephan Orlovsky_, Jan 24 2012 *)
%o (PARI) { default(realprecision, 20080); x=sqrt(96); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b010547.txt", n, " ", d)); } \\ _Harry J. Smith_, Jun 11 2009
%Y Cf. A010167 (continued fraction). - _Harry J. Smith_, Jun 11 2009
%K nonn,cons
%O 1,1
%A _N. J. A. Sloane_
%E Final digits of sequence corrected using the b-file. - _N. J. A. Sloane_, Aug 30 2009
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