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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.

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 + ...)))). - 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])); } \\ Harry J. Smith, May 08 2009

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

N. J. A. Sloane

STATUS

approved

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Last modified May 5 17:46 EDT 2016. Contains 272450 sequences.