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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.

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

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: A248345 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 August 1 15:54 EDT 2015. Contains 260183 sequences.