A010150 Continued fraction for sqrt(71).
8, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1, 2, 2, 16, 2, 2, 1, 7, 1
Offset: 0
Examples
8.426149773176358630634139906... = 8 + 1/(2 + 1/(2 + 1/(1 + 1/(7 + ...)))). - _Harry J. Smith_, Jun 08 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, 0, 0, 0, 0, 1).
Crossrefs
Cf. A010523 Decimal expansion. - Harry J. Smith, Jun 08 2009
Programs
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Mathematica
ContinuedFraction[Sqrt[71],300] (* Vladimir Joseph Stephan Orlovsky, Mar 08 2011 *) PadRight[{8},120,{16,2,2,1,7,1,2,2}] (* Harvey P. Dale, Apr 17 2015 *)
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PARI
{ allocatemem(932245000); default(realprecision, 20000); x=contfrac(sqrt(71)); for (n=0, 20000, write("b010150.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 08 2009