A010141 Continued fraction for sqrt(55).
7, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14, 2, 2, 2, 14
Offset: 0
Examples
7.41619848709566294871139744... = 7 + 1/(2 + 1/(2 + 1/(2 + 1/(14 + ...)))). - _Harry J. Smith_, Jun 06 2009
Links
- Harry J. Smith, Table of n, a(n) for n = 0..20000
- G. Xiao, Contfrac
- Index entries for continued fractions for constants
- Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 1).
Crossrefs
Cf. A010508 Decimal expansion. - Harry J. Smith, Jun 06 2009
Programs
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Mathematica
ContinuedFraction[Sqrt[55],300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *)
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PARI
{ allocatemem(932245000); default(realprecision, 23000); x=contfrac(sqrt(55)); for (n=0, 20000, write("b010141.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 06 2009