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%I #28 Dec 27 2023 00:09:59
%S 7,1,4,3,1,2,2,1,3,4,1,14,1,4,3,1,2,2,1,3,4,1,14,1,4,3,1,2,2,1,3,4,1,
%T 14,1,4,3,1,2,2,1,3,4,1,14,1,4,3,1,2,2,1,3,4,1,14,1,4,3,1,2,2,1,3,4,1,
%U 14,1,4,3,1,2,2,1,3,4,1,14
%N Continued fraction for sqrt(61).
%H Harry J. Smith, <a href="/A010145/b010145.txt">Table of n, a(n) for n = 0..20000</a>
%H A. J. van der Poorten, <a href="https://web.archive.org/web/*/http://www-centre.mpce.mq.edu.au/alfpapers/a075.pdf">An introduction to continued fractions</a>, Unpublished.
%H A. J. van der Poorten, <a href="/A007400/a007400_4.pdf">An introduction to continued fractions</a>, Unpublished [Cached copy]
%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_11">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
%e 7.810249675906654394129722735... = 7 + 1/(1 + 1/(4 + 1/(3 + 1/(1 + ...)))). - _Harry J. Smith_, Jun 07 2009
%t ContinuedFraction[Sqrt[61],300] (* _Vladimir Joseph Stephan Orlovsky_, Mar 08 2011 *)
%t PadRight[{7},120,{14,1,4,3,1,2,2,1,3,4,1}] (* _Harvey P. Dale_, Mar 27 2013 *)
%o (PARI) { allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(61)); for (n=0, 20000, write("b010145.txt", n, " ", x[n+1])); } \\ _Harry J. Smith_, Jun 07 2009
%Y Cf. A010514 Decimal expansion. - _Harry J. Smith_, Jun 07 2009
%K nonn,cofr
%O 0,1
%A _N. J. A. Sloane_