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 A003117 Continued fraction for fifth root of 3. (Formerly M3473) 2
 1, 4, 14, 2, 1, 1, 3, 2, 29, 2, 1, 7, 1, 5, 2, 1, 1, 19, 12, 77, 2, 16, 2, 1, 1, 15, 1, 1, 3, 14, 5, 1, 3, 2, 1, 1, 1, 1, 1, 1, 5, 1, 463, 1, 379, 3, 5, 3, 11, 1, 7, 7, 1, 1, 2, 1, 1, 1, 2, 1, 1, 1, 2, 1, 46, 17, 44, 1, 1, 1, 2, 24, 9, 1, 7, 4, 1, 2, 2, 1, 3, 2, 7, 1, 7, 1, 1, 2, 1, 1, 4, 1, 46, 8, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 REFERENCES H. P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973. N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence). LINKS Harry J. Smith, Table of n, a(n) for n = 1..20000 Herman P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973. J. Shallit & N. J. A. Sloane, Correspondence 1974-1975 G. Xiao, Contfrac EXAMPLE 1.24573093961551732596668033... = 1 + 1/(4 + 1/(14 + 1/(2 + 1/(1 + ...)))). - Harry J. Smith, May 12 2009 MATHEMATICA ContinuedFraction[Surd[3, 5], 120] (* Harvey P. Dale, Dec 15 2018 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(3^(1/5)); for (n=1, 20000, write("b003117.txt", n, " ", x[n])); } \\ Harry J. Smith, May 12 2009 CROSSREFS Cf. A005532 = Decimal expansion. - Harry J. Smith, May 12 2009 Sequence in context: A182439 A182441 A107775 * A239465 A156985 A138229 Adjacent sequences:  A003114 A003115 A003116 * A003118 A003119 A003120 KEYWORD nonn,cofr AUTHOR EXTENSIONS More terms from James A. Sellers, Sep 08 2000 STATUS approved

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Last modified February 16 02:39 EST 2019. Contains 320140 sequences. (Running on oeis4.)