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 A040071 Continued fraction for sqrt(80). 5
 8, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1, 16, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,1 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)*(17 + 15*(-1)^n) - 8*(binomial(2*n,n) mod 2). - Paolo P. Lava, Jun 10 2009 a(n) = 4^(1+(-1)^n) for n>0, a(0)=8. [Bruno Berselli, Dec 29 2015] EXAMPLE 8.9442719099991587856366946... = 8 + 1/(1 + 1/(16 + 1/(1 + 1/(16 + ...)))). - Harry J. Smith, Jun 09 2009 MAPLE Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'): MATHEMATICA ContinuedFraction[Sqrt[80], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 09 2011 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 26000); x=contfrac(sqrt(80)); for (n=0, 20000, write("b040071.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 09 2009 CROSSREFS Cf. A010532 Decimal expansion. - Harry J. Smith, Jun 09 2009 Sequence in context: A173988 A158893 A107929 * A317026 A126000 A326992 Adjacent sequences:  A040068 A040069 A040070 * A040072 A040073 A040074 KEYWORD nonn,cofr,easy AUTHOR STATUS approved

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Last modified October 15 21:17 EDT 2019. Contains 328038 sequences. (Running on oeis4.)