

A005483


Continued fraction for cube root of 7.
(Formerly M4675)


3



1, 1, 10, 2, 16, 2, 1, 4, 2, 1, 21, 1, 3, 5, 1, 2, 1, 1, 2, 11, 5, 1, 3, 1, 2, 27, 4, 1, 282, 8, 1, 2, 1, 1, 3, 1, 3, 2, 6, 4, 1, 2, 1, 5, 1, 1, 2, 1, 1, 1, 3, 2, 8, 1, 2, 2, 4, 5, 1, 1, 36, 1, 1, 1, 1, 2, 1, 2, 31
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OFFSET

1,3


REFERENCES

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


EXAMPLE

7^(1/3) = 1.912931182772389... = 1 + 1/(1 + 1/(10 + 1/(2 + 1/(16 + ...)))).  Harry J. Smith, May 08 2009


MATHEMATICA

ContinuedFraction[Surd[7, 3], 70] (* Harvey P. Dale, Oct 01 2013 *)


PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(7^(1/3)); for (n=1, 20000, write("b005483.txt", n, " ", x[n])); } \\ Harry J. Smith, May 08 2009


CROSSREFS

Cf. A005482 = Decimal expansion.  Harry J. Smith, May 08 2009
Sequence in context: A069532 A084461 A326107 * A228276 A040099 A173237
Adjacent sequences: A005480 A005481 A005482 * A005484 A005485 A005486


KEYWORD

nonn,cofr


AUTHOR

N. J. A. Sloane


STATUS

approved



