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A002950 Continued fraction for fifth root of 2.
(Formerly M4044)
3
1, 6, 1, 2, 1, 1, 1, 3, 25, 1, 4, 3, 3, 7, 52, 1, 2, 3, 2, 15, 2, 2, 4, 16, 2, 7, 1, 1, 1, 10, 21, 1, 1, 1, 141, 2, 4, 1, 4, 2, 1, 1, 17, 1, 3, 3, 4, 1, 3, 1, 3, 2, 1, 1, 2, 33, 1, 6, 6, 1, 2, 4, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,2
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
J. Shallit & N. J. A. Sloane, Correspondence 1974-1975
G. Xiao, Contfrac
EXAMPLE
2^(1/5) = 1.148698354997035006798626946... = 1 + 1/(6 + 1/(1 + 1/(2 + 1/(1 + ...)))). - Harry J. Smith, May 12 2009
MAPLE
with(numtheory):
cfrac(2^(1/5), 100, 'quotients'); # Muniru A Asiru, Nov 02 2018
MATHEMATICA
ContinuedFraction[2^(1/5), 100] (* G. C. Greubel, Nov 02 2018 *)
PROG
(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(2^(1/5)); for (n=1, 20000, write("b002950.txt", n, " ", x[n])); } \\ Harry J. Smith, May 12 2009
(Magma) SetDefaultRealField(RealField(100)); ContinuedFraction(2^(1/5)); // G. C. Greubel, Nov 02 2018
CROSSREFS
Cf. A005531 = Decimal expansion. - Harry J. Smith, May 12 2009
Sequence in context: A357297 A111825 A085552 * A324046 A244059 A121090
KEYWORD
nonn,cofr
AUTHOR
STATUS
approved

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Last modified March 28 18:04 EDT 2024. Contains 371254 sequences. (Running on oeis4.)