

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

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), 112134.
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



