A010164 Continued fraction for sqrt(93).
9, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1, 1, 1, 18, 1, 1, 1, 4, 6, 4, 1
Offset: 0
Examples
9.643650760992954995760031047... = 9 + 1/(1 + 1/(1 + 1/(1 + 1/(4 + ...)))). - _Harry J. Smith_, Jun 11 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, 0, 0, 1).
Crossrefs
Cf. A010544 Decimal expansion. - Harry J. Smith, Jun 11 2009
Programs
-
Mathematica
ContinuedFraction[Sqrt[93],300] (* Vladimir Joseph Stephan Orlovsky, Mar 10 2011 *) PadRight[{9},120,{18,1,1,1,4,6,4,1,1,1}] (* Harvey P. Dale, Mar 30 2019 *)
-
PARI
{ allocatemem(932245000); default(realprecision, 18000); x=contfrac(sqrt(93)); for (n=0, 20000, write("b010164.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 11 2009