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%I #25 Dec 27 2023 00:20:54
%S 8,1,2,1,1,5,4,5,1,1,2,1,16,1,2,1,1,5,4,5,1,1,2,1,16,1,2,1,1,5,4,5,1,
%T 1,2,1,16,1,2,1,1,5,4,5,1,1,2,1,16,1,2,1,1,5,4,5,1,1,2,1,16,1,2,1,1,5,
%U 4,5,1,1,2,1,16,1,2,1,1,5
%N Continued fraction for sqrt(76).
%H Harry J. Smith, <a href="/A010154/b010154.txt">Table of n, a(n) for n = 0..20000</a>
%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%H <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
%e 8.717797887081347104473963967... = 8 + 1/(1 + 1/(2 + 1/(1 + 1/(1 + ...)))). - _Harry J. Smith_, Jun 09 2009
%t ContinuedFraction[Sqrt[76],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 08 2011 *)
%t PadRight[{8},100,{16,1,2,1,1,5,4,5,1,1,2,1}] (* _Harvey P. Dale_, Jul 06 2021 *)
%o (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(76)); for (n=0, 20000, write("b010154.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 09 2009
%Y Cf. A010528 Decimal expansion. - _Harry J. Smith_, Jun 09 2009
%K nonn,cofr
%O 0,1
%A _N. J. A. Sloane_
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