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 A040007 Continued fraction for sqrt(11). 3
 3, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 COMMENTS Eventual period is (3,6). - Zak Seidov, Mar 05 2011 LINKS Harry J. Smith, Table of n, a(n) for n = 0..20000 G. Xiao, Contfrac Index entries for linear recurrences with constant coefficients, signature (0, 1). FORMULA a(n) = (1/2)(9 + 3*(-1)^n) - 3*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 11 2009 EXAMPLE 3.316624790355399849114932736... = 3 + 1/(3 + 1/(6 + 1/(3 + 1/(6 + ...)))). - Harry J. Smith, Jun 02 2009 MAPLE Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'): MATHEMATICA ContinuedFraction[Sqrt[11], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 05 2011 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 27000); x=contfrac(sqrt(11)); for (n=0, 20000, write("b040007.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 02 2009 CROSSREFS Cf. A010468 Decimal expansion. - Harry J. Smith, Jun 02 2009 Sequence in context: A335870 A339496 A336422 * A110634 A324467 A151787 Adjacent sequences:  A040004 A040005 A040006 * A040008 A040009 A040010 KEYWORD nonn,cofr,easy AUTHOR STATUS approved

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Last modified April 13 14:11 EDT 2021. Contains 342936 sequences. (Running on oeis4.)