A010155 Continued fraction for sqrt(77).
8, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3, 2, 3, 1, 16, 1, 3
Offset: 0
Examples
8.774964387392122060406388307... = 8 + 1/(1 + 1/(3 + 1/(2 + 1/(3 + ...)))). - _Harry J. Smith_, Jun 09 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, 1).
Crossrefs
Cf. A010529 Decimal expansion. - Harry J. Smith, Jun 09 2009
Programs
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Mathematica
ContinuedFraction[Sqrt[77],300] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011 *)
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PARI
{ allocatemem(932245000); default(realprecision, 20000); x=contfrac(sqrt(77)); for (n=0, 20000, write("b010155.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 09 2009