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 A040042 Continued fraction for sqrt(50) = 5*sqrt(2). 6
 7, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14 (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 (1). FORMULA a(n) = 14 - 7*(binomial(2*n,n) mod 2), with n>=0. - Paolo P. Lava, Jun 09 2009 EXAMPLE 7.07106781186547524400844... = 7 + 1/(14 + 1/(14 + 1/(14 + 1/(14 + ...)))). - Harry J. Smith, Jun 01 2009 MAPLE Digits := 100: convert(evalf(sqrt(N)), confrac, 90, 'cvgts'): MATHEMATICA ContinuedFraction[Sqrt[50], 300] (* Vladimir Joseph Stephan Orlovsky, Mar 07 2011 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 47000); x=contfrac(sqrt(50)); for (n=0, 20000, write("b040042.txt", n, " ", x[n+1])); } \\ Harry J. Smith, Jun 01 2009 CROSSREFS Cf. A010503. Sequence in context: A064666 A269160 A286418 * A233366 A232831 A232877 Adjacent sequences:  A040039 A040040 A040041 * A040043 A040044 A040045 KEYWORD nonn,cofr,easy AUTHOR STATUS approved

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Last modified September 25 22:57 EDT 2018. Contains 315425 sequences. (Running on oeis4.)