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%I #24 Dec 27 2023 00:11:53
%S 4,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,
%T 8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,
%U 8,2,8,2,8,2,8,2,8,2,8,2,8
%N Continued fraction for sqrt(20).
%H Harry J. Smith, <a href="/A040015/b040015.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_02">Index entries for linear recurrences with constant coefficients</a>, signature (0, 1).
%e 4.472135954999579392818347337... = 4 + 1/(2 + 1/(8 + 1/(2 + 1/(8 + ...)))). - _Harry J. Smith_, Jun 03 2009
%p Digits := 100: convert(evalf(sqrt(N)),confrac,90,'cvgts'):
%t ContinuedFraction[Sqrt[20],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 05 2011 *)
%t PadRight[{4},120,{8,2}] (* _Harvey P. Dale_, Jul 17 2023 *)
%o (PARI) { allocatemem(932245000); default(realprecision, 26000); x=contfrac(sqrt(20)); for (n=0, 20000, write("b040015.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 03 2009
%Y Cf. A010476 Decimal expansion. - _Harry J. Smith_, Jun 03 2009
%K nonn,cofr,easy
%O 0,1
%A _N. J. A. Sloane_
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