A005483 Continued fraction for cube root of 7. (Formerly M4675)

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

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), 112-134.

S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134. [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: A367811 A364188 A326107 * A228276 A040099 A330365

Adjacent sequences: A005480 A005481 A005482 * A005484 A005485 A005486

Keyword

nonn,cofr

Author

N. J. A. Sloane

Status

approved