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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

S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134.

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 A240600

Adjacent sequences:  A002945 A002946 A002947 * A002949 A002950 A002951

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane.

STATUS

approved

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Last modified July 31 17:29 EDT 2014. Contains 245085 sequences.