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 A002948 Continued fraction for cube root of 5. (Formerly M0300) 3
 1, 1, 2, 2, 4, 3, 3, 1, 5, 1, 1, 4, 10, 17, 1, 14, 1, 1, 3052, 1, 1, 1, 1, 1, 1, 2, 2, 1, 3, 2, 1, 13, 5, 1, 1, 1, 13, 2, 41, 1, 4, 12, 1, 5, 2, 7, 1, 1, 3, 33, 2, 1, 1, 1, 1, 1, 1, 3, 2, 2, 1, 15, 12 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 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 S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134. S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134. [Annotated scanned copy] Herman P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973. G. Xiao, Contfrac EXAMPLE 5^(1/3) = 1.70997594667669698... = 1 + 1/(1 + 1/(2 + 1/(2 + 1/(4 + ...)))). - Harry J. Smith, May 08 2009 MAPLE with(numtheory): cfrac(5^(1/3), 80, 'quotients'); # Muniru A Asiru, Nov 02 2018 MATHEMATICA ContinuedFraction[5^(1/3), 100] (* G. C. Greubel, Nov 02 2018 *) PROG (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(5^(1/3)); for (n=1, 20000, write("b002948.txt", n, " ", x[n])); } \\ Harry J. Smith, May 08 2009 (MAGMA) SetDefaultRealField(RealField(100)); ContinuedFraction(5^(1/3)); // G. C. Greubel, Nov 02 2018 CROSSREFS Cf. A005481 = Decimal expansion. - Harry J. Smith, May 08 2009 Sequence in context: A248345 A094953 A122687 * A117113 A239430 A260951 Adjacent sequences:  A002945 A002946 A002947 * A002949 A002950 A002951 KEYWORD nonn,cofr AUTHOR STATUS approved

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Last modified September 22 05:47 EDT 2019. Contains 327287 sequences. (Running on oeis4.)