

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
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OFFSET

1,3


REFERENCES

S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112134.
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
G. Xiao, Contfrac
Index entries for continued fractions for constants


EXAMPLE

5^(1/3) = 1.70997594667669698... = 1 + 1/(1 + 1/(2 + 1/(2 + 1/(4 + ...)))) [From Harry J. Smith, May 08 2009]


PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(5^(1/3)); for (n=1, 20000, write("b002948.txt", n, " ", x[n])); } [From Harry J. Smith, May 08 2009]


CROSSREFS

Cf. A005481 = Decimal expansion. [From Harry J. Smith, May 08 2009]
Sequence in context: A209749 A094953 A122687 * A117113 A239430 A227183
Adjacent sequences: A002945 A002946 A002947 * A002949 A002950 A002951


KEYWORD

nonn,cofr


AUTHOR

N. J. A. Sloane.


STATUS

approved



