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A010138 Continued fraction for sqrt(52). 3

%I #25 Dec 27 2023 00:14:54

%S 7,4,1,2,1,4,14,4,1,2,1,4,14,4,1,2,1,4,14,4,1,2,1,4,14,4,1,2,1,4,14,4,

%T 1,2,1,4,14,4,1,2,1,4,14,4,1,2,1,4,14,4,1,2,1,4,14,4,1,2,1,4,14,4,1,2,

%U 1,4,14,4,1,2,1,4,14,4,1

%N Continued fraction for sqrt(52).

%H Harry J. Smith, <a href="/A010138/b010138.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_06">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 1).

%e 7.211102550927978586238442534... = 7 + 1/(4 + 1/(1 + 1/(2 + 1/(1 + ...)))). - _Harry J. Smith_, Jun 06 2009

%t ContinuedFraction[Sqrt[52],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 07 2011 *)

%t PadRight[{7},120,{14,4,1,2,1,4}] (* _Harvey P. Dale_, Nov 22 2018 *)

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(sqrt(52)); for (n=0, 20000, write("b010138.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 06 2009

%Y Cf. A010505 Decimal expansion. - _Harry J. Smith_, Jun 06 2009

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_

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Last modified March 28 16:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)